Patrick Solè
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Mathematics
Patrick Solè's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)Patrick Solè's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Z4-linearity of Kerdock, Preparata, Goethals, and related codes (1994) (1534)
- On the algebraic structure of quasi-cyclic codes I: Finite fields (2001) (253)
- Type II Codes Over F2 + u F2 (1999) (192)
- Quaternary quadratic residue codes and unimodular lattices (1995) (174)
- Pyramidal lattice vector quantization for multiscale image coding (1994) (141)
- Skew constacyclic codes over Galois rings (2008) (137)
- Type II codes over Z4 (1997) (128)
- The combinatorics of LCD codes: linear programming bound and orthogonal matrices (2015) (119)
- On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings (2003) (116)
- A linear construction for certain Kerdock and Preparata codes (1993) (112)
- Quasi-cyclic complementary dual codes (2015) (103)
- A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties (1989) (100)
- Type IV self-dual codes over rings (1999) (80)
- Cyclic Self-DualZ4-Codes (1997) (80)
- Self-dual codes over rings and the Chinese remainder theorem (1999) (78)
- On the algebraic structure of quasi-cyclic codes III: generator theory (2005) (78)
- Spectra of Regular Graphs and Hypergraphs and Orthogonal Polynomials (1996) (75)
- On constacyclic codes over Z4[u]/〈u2-1〉 and their Gray images (2016) (74)
- Good self-dual quasi-cyclic codes exist (2003) (67)
- Completely regular codes and completely transitive codes (1990) (64)
- Connections between Quaternary and Binary Bent Functions (2009) (64)
- Two New Families of Two-Weight Codes (2016) (64)
- Additive Asymmetric Quantum Codes (2010) (58)
- Asymptotic bounds on the covering radius of binary codes (1990) (56)
- Expanding and Forwarding (1995) (54)
- Constructions of optimal LCD codes over large finite fields (2017) (54)
- On self-dual negacirculant codes of index two and four (2017) (54)
- Self-dual bent functions (2010) (53)
- Diameter, Covering Index, Covering Radius and Eigenvalues (1991) (52)
- Two and three weight codes over Fp+uFp$\mathbb {F}_{p}+u\mathbb {F}_{p}$ (2016) (51)
- Cyclic codes over M2(F2) (2013) (51)
- On the Algebraic Structure of Quasi-cyclic Codes IV: Repeated Roots (2006) (46)
- Secret-sharing schemes based on self-dual codes (2008) (45)
- Double circulant LCD codes over Z4 (2019) (39)
- On the covering radius of Z4-codes and their lattices (1999) (38)
- The Weights in MDS Codes (2009) (37)
- On self-dual double circulant codes (2016) (36)
- Unimodular lattices for the Gaussian Wiretap Channel (2010) (35)
- Hermitian Self-Dual Abelian Codes (2014) (34)
- The Most Significant Bit of Maximum-Length Sequences Over BBZ2l: Autocorrelation and Imbalance (2004) (34)
- 3-Colored 5-Designs and Z4-Codes (2000) (34)
- On Linear Complementary Pairs of Codes (2018) (33)
- Type II Codes Over F 4 + uF 4 . (2001) (32)
- Double circulant self-dual and LCD codes over Galois rings (2018) (32)
- Double circulant codes from two class association schemes (2007) (32)
- On cyclic DNA codes (2012) (31)
- Self-dual codes and orthogonal matrices over large finite fields (2018) (31)
- Structure and performance of generalized quasi-cyclic codes (2017) (31)
- On self-dual double negacirculant codes (2016) (31)
- The edge-forwarding index of orbital regular graphs (1994) (30)
- A pyramidal scheme for lattice vector quantization of wavelet transform coefficients applied to image coding (1992) (28)
- On the entropy of Physically Unclonable Functions (2016) (26)
- CTRU, a polynomial analogue of NTRU (2002) (26)
- Multiply Constant-Weight Codes and the Reliability of Loop Physically Unclonable Functions (2014) (26)
- Optimal Two-Weight Codes From Trace Codes Over $\mathbb {F}_2+u\mathbb {F}_2$ (2016) (26)
- From skew-cyclic codes to asymmetric quantum codes (2010) (25)
- LCD codes from tridiagonal Toeplitz matrices (2021) (24)
- Skew Cyclic codes over Fq+u\Fq+vFq+uvFq (2015) (24)
- New Classes of p-Ary Few Weight Codes (2016) (24)
- Optimal binary codes from trace codes over a non-chain ring (2017) (24)
- Ramanujan geometries of type Ãn (2003) (24)
- Few-weight codes from trace codes over a local ring (2018) (23)
- A Coding Approach to Signed Graphs (1994) (23)
- A New Class of Codes for Boolean Masking of Cryptographic Computations (2011) (23)
- A limit law on the distance distribution of binary codes (1990) (23)
- Self-Dual Codes over Z 4 and Unimodular Lattices : A Survey (2002) (23)
- Z8-Kerdock codes and pseudorandom binary sequences (2004) (22)
- On the duality and the direction of polycyclic codes (2016) (22)
- MDS Convolutional Codes Over a Finite Ring (2013) (22)
- Duadic Codes over F2 + uF2 (2001) (22)
- Shadow Codes over Z4 (2001) (21)
- Covering radius, codimension, dual-distance width (1993) (21)
- Codes Over Matrix Rings for Space-Time Coded Modulations (2010) (20)
- Good Stabilizer Codes from Quasi-Cyclic Codes over F4 and F9 (2019) (20)
- The second eigenvalue of regular graphs of given girth (1992) (19)
- On self-dual and LCD double circulant and double negacirculant codes over F q + uF q . (2018) (19)
- Universal codes and unimodular lattices (1997) (19)
- Cyclic codes and the weight enumerators of linear codes over F_2+vF_2+v^2F_2 (2013) (18)
- Optimal two weight codes from trace codes over a chain ring (2016) (17)
- The Rayleigh Quotient of Bent Functions (2009) (17)
- EISENSTEIN LATTICES, GALOIS RINGS AND QUATERNARY CODES (2006) (17)
- Classification of Extremal and $s$-Extremal Binary Self-Dual Codes of Length 38 (2011) (17)
- Asymptotically Good Additive Cyclic Codes Exist (2018) (17)
- Generalization of the Norse bounds to codes of higher strength (1991) (17)
- An extension of Massey scheme for secret sharing (2010) (16)
- LCD and ACD codes over a noncommutative non-unital ring with four elements (2021) (16)
- Jacobi Polynomials, Type II Codes, and Designs (1999) (16)
- Towards the classification of self-dual bent functions in eight variables (2013) (16)
- Shadow lattices and shadow codes (2000) (16)
- New constructions of entanglement-assisted quantum codes (2021) (16)
- Two-weight and three-weight codes from trace codes over (2016) (16)
- Multiply constant weight codes (2013) (16)
- Three Constructions of Authentication/Secrecy Codes (2003) (16)
- How many weights can a linear code have? (2018) (16)
- 2- and 3-Modular lattice wiretap codes in small dimensions (2013) (16)
- Quaternary Convolutional Codes From Linear Block Codes Over Galois Rings (2007) (15)
- On self-dual and LCD quasi-twisted codes of index two over a special chain ring (2018) (15)
- Cubic self-dual binary codes (2003) (15)
- The lengths of Hermitian self-dual extended duadic codes (2005) (15)
- Saddle Point Techniques in Asymptotic Coding Theory (1991) (15)
- Counting lattice points in pyramids (1995) (15)
- Extending a perfect matching to a Hamiltonian cycle (2015) (15)
- On self-dual four circulant codes (2017) (14)
- Three-weight codes, triple sum sets, and strongly walk regular graphs (2019) (14)
- New quantum codes from constacyclic codes over a non-chain ring (2021) (14)
- Quadratic iterations to associated with elliptic functions to the cubic and septic base (2002) (13)
- The Covering Radius of the Cycle Code of a Graph (1993) (13)
- Good self-dual generalized quasi-cyclic codes exist (2016) (13)
- Type II codes over F/sub 4/ (2000) (13)
- Pseudo-random Sequences Generated by Cellular Automata (2008) (13)
- Duadic Z4-codes (2000) (13)
- Quaternary constructions of formally self-dual binary codes and unimodular lattices (1993) (13)
- Optimal p-ary codes from one-weight and two-weight codes over $\mathbb{F}_p + v\mathbb{F}_p^* $ (2015) (13)
- On quintic quasi-cyclic codes (2008) (12)
- Polycyclic codes as invariant subspaces (2020) (12)
- $2$-modular lattices from ternary codes (2002) (12)
- Elliptical codebook for lattice vector quantization (1993) (12)
- New Quantum Codes from Skew Constacyclic Codes Over a Class Of Non-Chain Rings Re, q (2021) (12)
- Bounds on the Minimum Homogeneous Distance of the pr-ary Image of Linear Block Codes over the Galois Ring GR(pr, m) (2007) (12)
- FEW-WEIGHT CODES FROM TRACE CODES OVER $R_{k}$ (2018) (12)
- On linear complementary-dual multinegacirculant codes (2017) (12)
- Gauss Sums over Quasi-Frobenius Rings (2001) (12)
- Performance of Fault-Tolerant Diagnostics in the Hypercube Systems (1989) (11)
- Long quasi-polycyclic t-CIS codes (2017) (11)
- Niemeier lattices and Type II codes over Z4 (1999) (11)
- On two-weight Z2k -codes (2018) (11)
- On self-dual and LCD double circulant and double negacirculant codes over Fq+uFq$\mathbb {F}_{q}+u\mathbb {F}_{q}$ (2018) (11)
- Quasi type IV codes over a non-unital ring (2021) (11)
- On the Apparent Duality of the Kerdock and Preparata Codes (1993) (10)
- Concise Encyclopedia of Coding Theory (2021) (10)
- Distance-Transitive Graphs for Fault-Tolerant Multiprocessor Systems (1989) (10)
- Seven-modular lattices and a septic base Jacobi identity (2003) (10)
- A Multisecret-Sharing Scheme Based on LCD Codes (2020) (10)
- On the parameters of codes for the Lee and modular distance (1991) (10)
- Inversive pseudorandom numbers over Galois rings (2009) (10)
- Tekalp-Erdem estimator gives the LS estimate for Fourier phase and log-Fourier modulus (1993) (10)
- Higher-Order CIS Codes (2014) (10)
- Nonlinear p-ary Sequences (2003) (10)
- On the additive cyclic structure of quasi-cyclic codes (2018) (10)
- A Lloyd Theorem in Weakly Metric Association Schemes (1989) (10)
- A new concatenated type construction for LCD codes and isometry codes (2018) (10)
- Geometric Approach to b-Symbol Hamming Weights of Cyclic Codes (2021) (10)
- Double Circulant Self-Dual and LCD Codes Over ℤp2 (2019) (10)
- Packing radius, covering radius, and dual distance (1995) (10)
- Skew Hadamard designs and their codes (2008) (10)
- Classification and Construction of quaternary self-dual bent functions (2018) (9)
- Broadcasting in hypercubes in the circuit switched model (2000) (9)
- Lattice Codes for the Gaussian Wiretap Channel (2011) (9)
- Construction of one-Lee weight and two-Lee weight codes over Fp + vFp (2017) (9)
- Long packing and covering codes (1997) (9)
- Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes (2013) (9)
- Binary quasi-cyclic codes of index 2 and skew polynomial rings (2012) (9)
- Diameter lower bounds for Waring graphs and multiloop networks (1993) (9)
- Optimal three-weight cubic codes (2016) (9)
- ΘS-cyclic codes over Ak (2016) (9)
- Low-Correlation, High-Nonlinearity Sequences for Multiple-Code CDMA (2006) (9)
- Around Pelikán’s conjecture on very odd sequences (2004) (8)
- The Geometry of Two-Weight Codes Over ℤpm (2021) (8)
- Heavy weight codes (2010) (8)
- Multisecret-sharing schemes and bounded distance decoding of linear codes (2017) (8)
- Construction of isodual codes from polycirculant matrices (2018) (8)
- On the lifted Zetterberg code (2016) (8)
- The Covering Radius of Spherical Designs (1991) (8)
- A note on a basic exact sequence for the Lee and Euclidean weights of linear codes over Zℓ (2015) (8)
- The maximum number of minimal codewords in long codes (2012) (8)
- Generalized Theta Functions for Lattice Vector Quantization (1992) (8)
- Isodual cyclic codes over finite fields of odd characteristic (2016) (7)
- Cyclic codes over rings and p-adic fields (1988) (7)
- On Bounded Weight Codes (2010) (7)
- Pseudo-random sequences, boolean functions and cellular automata (2008) (7)
- Two families of two-weight codes over Z 4 (2020) (7)
- Bounds on the Minimum Homogeneous Distance of the ${p^{r}}$-ary Image of Linear Block Codes Over the Galois Ring ${\hbox{GR}}(p^{r},m)$ (2007) (7)
- The Lee Association Scheme (1988) (7)
- Un Lattices, Construction B, and AGM Iterations (1998) (7)
- A lattice-based McEliece scheme for encryption and signature (2001) (7)
- Distribution of r-Patterns in the Most Significant Bit of a Maximum Length Sequence over (2004) (7)
- Least-squared error reconstruction of a deterministic sampled signal Fourier transform logarithm from its N-th order polyspectrum logarithm (1994) (7)
- A new distance-regular graph of diameter 3 on 1024 vertices (2018) (7)
- Duadic Codes over (2001) (7)
- D4, E6, E8 and the AGM (1995) (7)
- Skew Cyclic Codes over a Non-chain Ring (2017) (7)
- Quadratic Residue Codes over 𝔽p+v𝔽p+v2𝔽p (2014) (6)
- The joint weight enumerator of an LCD code and its dual (2015) (6)
- Gilbert-Varshamov type bounds for linear codes over finite chain rings (2007) (6)
- On the Existence of Hermitian Self-Dual Extended Abelian Group Codes (2006) (6)
- SHADOWS OF CODES AND LATTICES (2002) (6)
- A new method for constructing linear codes with small hulls (2021) (6)
- Optimal Ternary Cubic Two‐Weight Codes (2018) (6)
- Optimal and isodual ternary cyclic codes of rate 1/2 (2012) (6)
- Twisted Centralizer Codes (2016) (6)
- Kernels and Defaults (1998) (6)
- Towers of function fields and iterated means (2000) (6)
- How Many Weights Can a Quasi-Cyclic Code Have? (2020) (6)
- RAMANUJAN HYPERGRAPHS AND RAMANUJAN GEOMETRIES (1999) (6)
- Two-weight codes and second order recurrences (2017) (6)
- A family of constacyclic codes over a class of non-chain rings $${\mathcal {A}}_{q,r}$$ and new quantum codes (2021) (5)
- A New Approach to the Kasami Codes of Type 2 (2018) (5)
- Generalised Theta Functionsb for Lattice Vector Quantization (1993) (5)
- Lattice Codes for Deletion and Repetition Channels (2018) (5)
- On Codes over Fq+vFq+v2Fq (2017) (5)
- The build-up construction of quasi self-dual codes over a non-unital ring (2021) (5)
- Multidiameters and Multiplicities (1999) (5)
- Constructive spherical codes near the Shannon bound (2011) (5)
- The maximum number of minimal codewords in an [n, k][n, k]-code (2013) (5)
- Ternary codes and Jacobi forms (2004) (5)
- Galois Rings and Pseudo-random Sequences (2007) (4)
- A pr 2 01 5 Skew cyclic codes over F q + v F q + v 2 F q ∗ (2017) (4)
- The minimum number of minimal codewords in an [n, k]-code and in graphic codes (2015) (4)
- A SPECIAL CLASS OF QUASI-CYCLIC CODES (2017) (4)
- An Inversion Formula for Krawtchcuk Polynomials with Applications to Coding Theory (1990) (4)
- Long cyclic codes are good (2017) (4)
- On the Covering Radius of an Unrestricted Code as a Function of the Rate, Dual Distance (1998) (4)
- Additive cyclic complementary dual codes over F4 (2022) (4)
- Maximality of the cycle code of a graph (1994) (4)
- Decomposing Quasi-Cyclic Codes (2001) (4)
- Codes over M2(F2) and applications to Golden space-time coded modulation (2009) (4)
- Duadic codes over Z2k (2001) (4)
- Eisenstein lattices, Galois rings, and theta series (2004) (4)
- Self-dual and LCD double circulant and double negacirculant codes over $${\mathbb {F}}_q+u{\mathbb {F}}_q+v{\mathbb {F}}_q$$ (2021) (4)
- Double cyclic codes over 𝔽q + u𝔽q + u2𝔽q (2015) (4)
- On two-weight $$\mathbb {Z}_{2^k}$$Z2k-codes (2018) (4)
- Codes over rings : proceedings of the CIMPA summer school, Ankara, Turkey, 18-29 August, 2008 (2009) (4)
- On complementary dual multinegacirculant codes (2019) (4)
- Duadic Codes over F 2 + u F 2 (2018) (4)
- Self-dual and LCD double circulant and double negacirculant codes over F _ q + uF _ q + vF _ q (2021) (4)
- Five-weight codes from three-valued correlation of M-sequences (2021) (4)
- Linear recurrences with polynomial coefficients (2004) (4)
- Codes, Lattices, and Steiner Systems (1997) (3)
- A family of constacyclic codes over a class of non-chain rings A q , r and new quantum codes (2021) (3)
- Type IV codes over a non-local non-unital ring (2020) (3)
- Linear Programming Bounds on the Kissing Number of q-ary Codes (2021) (3)
- Trace codes over $\Z_4$ and Boolean function (2017) (3)
- A Complete Characterization of Plateaued Boolean Functions in Terms of Their Cayley Graphs (2018) (3)
- Tricolore 3-designs in Type III codes (2001) (3)
- Quasi-Cyclic Complementary Dual Code (2015) (3)
- A New Secret Sharing Scheme Based on Polynomials over Finite Fields (2020) (3)
- On self-dual and LCD double circulant and double negacirculant codes over Fq+uFq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d (2019) (3)
- Broué-Enguehard maps and Atkin-Lehner involutions (2008) (3)
- Jacobi identities, modular lattices, and modular towers (2004) (3)
- The Covering Radius of Hadamard Codes in Odd Graphs (1992) (3)
- Long module skew codes are good (2016) (3)
- Cyclic codes over $M_2(\F_2)$ (2012) (3)
- Higher dimensional perfect space-time coded modulation (2009) (3)
- ℤ4ℤ4[u]-additive cyclic and constacyclic codes (2021) (3)
- Some Multisecret-Sharing Schemes over Finite Fields (2020) (3)
- Weighted Degree Trace Codes for PAPR Reduction (2004) (3)
- Symmetric flows and broadcasting in hypercubes (1999) (3)
- Z 4 Z 4 [u]-ADDITIVE CYCLIC AND CONSTACYCLIC CODES (2020) (3)
- Covering Codes and Combinatorial Optimization (1991) (3)
- Bipartite distance-regular interconnection topology for fault-tolerant multiprocessor systems (1990) (3)
- Asymptotic performance of metacyclic codes (2019) (3)
- The largest number of weights in cyclic codes (2018) (3)
- Strong 4-Colored 5-Designs (1998) (2)
- Sato-Tate Conjectures and Chebyshev Polynomials (1997) (2)
- Codes and Modular Forms (2019) (2)
- Cyclic self-dual Z/sub 4/-codes (1997) (2)
- Quaternary Codes and Biphase Sequences from $$\mathbb{Z}_8 $$ -Codes (2004) (2)
- Self-dual codes over Z~4 and half-integral weight modular forms (2002) (2)
- \begin{document}$ \mathbb{Z}_{4}\mathbb{Z}_{4}[u] $\end{document} -additive cyclic and constacyclic codes (2020) (2)
- Covering in Hypercubes (1989) (2)
- Product construction of affine codes (2014) (2)
- Bent Sequences over Hadamard Codes for Physically Unclonable Functions (2021) (2)
- The coordinator polynomial of some cyclotomic lattices (2007) (2)
- Good Self-Dual Quasi-Cyclic Codes over F q , q Odd (2004) (2)
- Nonadditive Quantum Codes from $\Z_4$-Codes (2008) (2)
- Weight distribution and dual distance (1994) (2)
- The average radius of codes: Survey and new results (2011) (2)
- New Classes of pary Few Weights Codes ∗ (2018) (2)
- Construction of MDS self-dual codes from orthogonal matrices (2016) (2)
- Basics of Coding Theory (2021) (2)
- The maximum number of minimal codewords in an $[n,k]-$code (2012) (2)
- On codes over $$\mathbb {F}_{q}+v\mathbb {F}_{q}+v^{2}\mathbb {F}_{q}$$Fq+vFq+v2Fq (2017) (2)
- The build-up construction over a commutative non-unital ring (2022) (2)
- Barnes' First Lemma and its Finite Analogue (1993) (2)
- Two families of two-weight codes over $\mathbb {Z}_4$ (2020) (2)
- Asymptotic Normality of Q-Ary Linear Codes (2019) (2)
- Linear codes over F 3 + u F 3 + u 2 F 3 : MacWilliams identities, optimal ternary codes from one-Lee weight codes and two-Lee weight codes (2015) (2)
- Secret Sharing, Zero Sum Sets, and Hamming Codes (2020) (2)
- Four applications of Z 4 − codes (2005) (1)
- Asymptotic Normality of <inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math></inline-formula>-Ary Linear Codes (2019) (1)
- The covering radius of doubled 2-designs in 2Ok (1991) (1)
- On Formally Self-dual Boolean Functions in 2, 4 and 6 Variables (2012) (1)
- SKEW GENERALIZED QUASI-CYCLIC CODES (2018) (1)
- Trace codes over $${\mathbb {Z}}_4,$$Z4, and Boolean functions (2017) (1)
- Strongly regular graphs from reducible cyclic codes (2021) (1)
- Self-dual codes and self-dual designs (1990) (1)
- Lower bounds on the minimum distance of long codes in the Lee metric (2013) (1)
- A MacWilliams formula for Convolutional Codes (2007) (1)
- On Codes over F q +vF q +v 2 F q . (2017) (1)
- Chapter 2 – Rings (2017) (1)
- Arithmetic Codes - Survey, Recent and New Results (1991) (1)
- Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes (2013) (1)
- Self-dual and LCD double circulant codes over a class of non-local rings (2022) (1)
- Covering radius in weakly metric association schemes (1986) (1)
- Block Codes for Dyadic Phase Shift Keying (1995) (1)
- On self-dual double circulant codes (2017) (1)
- A challenge code for maximizing the entropy of PUF responses (2016) (1)
- Correction to: New constructions of entanglement-assisted quantum codes (2021) (1)
- The concatenated structure of quasi-abelian codes (2018) (1)
- Lattice based codes for insertion and deletion channels (2013) (1)
- Decomposition of bent generalized Boolean functions (2016) (1)
- On the dual distance and the gap of a binary code (1998) (1)
- The most significant bit of maximum-length sequences over /spl Zopf/2/sup l/: autocorrelation and imbalance (2004) (1)
- Four applications of Z4-codes (2006) (1)
- Classification and Construction of quaternary self-dual bent functions (2017) (1)
- ℤ₂ℤ₄-Additive Quasi-Cyclic Codes (2021) (1)
- Trace Codes with Few Weights over Fp+uFp (2016) (1)
- A Gleason Formula for Ozeki Polynomials (2002) (1)
- Cyber-Security Threats and Side-Channel Attacks for Digital Agriculture (2022) (1)
- Skew Cyclic Codes over 픽q+v픽q+v2픽q (2015) (1)
- On the lifted Melas code (2015) (1)
- Two-weight codes over the integers modulo a prime power (2019) (1)
- DIRECTED STRONGLY REGULAR GRAPHS AND THEIR CODES (2017) (1)
- Trace Codes with Few Weights over $\mathbb{F}_p+u\mathbb{F}_p$ (2016) (1)
- Noncommutative Rings and Their Applications (2015) (1)
- MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(Fl+vFl+v2Fl) (2014) (1)
- On the support weight distribution of linear codes over the ring \(\mathbb{F}_p+u\mathbb{F}_p+\cdots+u^{d-1}\mathbb{F}_p\) (2017) (1)
- On Polynomial Pairs of Integers (2012) (1)
- Quasi self-dual codes over non-unital rings of order six (2020) (1)
- Linear codes over $${\mathbbm {F}}_3+u\mathbbm {F}_3+u^2\mathbbm {F}_3$$F3+uF3+u2F3: MacWilliams identities, optimal ternary codes from one-Lee weight codes and two-Lee weight codes (2016) (1)
- Additive cyclic complementary dual codes over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math> (2022) (1)
- Additive complementary dual codes over $\mathbb {F}_4$ (2022) (0)
- Generalized Quasicyclic Codes (2017) (0)
- Linear codes with few weights over F2+uF2 (2018) (0)
- Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes (2015) (0)
- On complementary dual multinegacirculant codes (2019) (0)
- Three-weight codes, triple sum sets, and strongly walk regular graphs (2019) (0)
- Codes over Mn(F3) with connection to Golden space-time coded modulation (2012) (0)
- Few-weight codes from trace codes over a local ring (2017) (0)
- CONSTRUCTION A FOR CONVOLUTIONAL CODES by Patrick Solé (2009) (0)
- On self-dual and LCD quasi-twisted codes of index two over a special chain ring (2018) (0)
- Chapter 9 – Quasitwisted Codes (2017) (0)
- LCD Codes from tridiagonal Toeplitz matrice (2021) (0)
- Chapter 8 – Quasicyclic Codes (2017) (0)
- Iterative decoding of space time codes Patrick Solé (2005) (0)
- Symmetric ows and broadcasting in hypercubesJ (1998) (0)
- Several Classes of $p$-ary Linear Codes with Few Weights (2016) (0)
- The punctured Dodecacode is uniformly packed (2019) (0)
- Self-dual Codes (2017) (0)
- Chapter 12 – MDR Codes (2017) (0)
- The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings (2008) (0)
- Title Product Construction of Affine Codes (2018) (0)
- Construction of one-Lee weight and two-Lee weight codes over Fp + vFp (2016) (0)
- New constructions of entanglement-assisted quantum codes (2021) (0)
- Towards the classification of self-dual bent functions in eight variables (2012) (0)
- An analogue of the ℤ4-Goethals code in non-primitive length (2017) (0)
- Lower bounds on the minimum distance of long codes in the Lee metric (2013) (0)
- An analogue of the ℤ4-Goethals code in non-primitive length (2017) (0)
- ph ] 1 4 M ar 2 01 1 Pauli graphs , Riemann hypothesis , Goldbach pairs (2013) (0)
- Z4 duadic codes (2000) (0)
- On $ \mathbb{Z}_4\mathbb{Z}_4[u^3] $-additive constacyclic codes (2022) (0)
- Strongly regular graphs from reducible cyclic codes (2021) (0)
- Pauli graphs, Riemann hypothesis, and Goldbach pairs (2011) (0)
- iv) The number of self-dual -codes of length containing a given nonzero codeword of length and even Hamming weight is given (2003) (0)
- Splitting the shadow (2003) (0)
- Code Based Secret Sharing Schemes - Applied Combinatorial Coding Theory (2022) (0)
- Chapter 14 – Character Sums (2017) (0)
- from LinearBlock Codes over GaloisRings (2007) (0)
- Guest editorial: On coding theory and combinatorics—in memory of Vera Pless (2022) (0)
- A New Code Based Signature Scheme for Blockchain Technology (2023) (0)
- I T ] 7 M ar 2 02 1 LCD CODES FROM TRIDIAGONAL TOEPLITZ MATRICES (2021) (0)
- On the lifted Melas code (2015) (0)
- Duality of Codes over Non-unital Rings of Order Four (2023) (0)
- On the Covering Radius of Codes over Z p k (2020) (0)
- Three-weight codes and the quintic construction (2016) (0)
- Discrete Mathematics in Communications and Computation Mathématiques discrètes en communications et en informatique (Org: (2018) (0)
- DNA Code from Cyclic and Skew Cyclic Codes over F4[v]/〈v3〉 (2023) (0)
- Some ternary cubic two-weight codes (2016) (0)
- Two weight Zpk-codes, p odd prime (2017) (0)
- N T ] 3 D ec 2 01 0 1 Robin inequality for 7 − free integers (2011) (0)
- Covering aspects of the Niemeier lattices (2019) (0)
- COMPARISON OF THE LEE AND HOMOGENOUS WEIGHTS OVER A FAMILY OF CHAIN RINGS (2018) (0)
- ON THE SUPPORT WEIGHT DISTRIBUTION OF LINEAR CODES OVER THE RING F + u F + + u (2016) (0)
- Pisano period codes (2017) (0)
- Linear codes over finite rings are trace codes (2020) (0)
- On self-dual negacirculant codes of index two and four (2018) (0)
- Correction to 'Quanternary Quadratic Residue Codes and Unimodular Lattices' (1995) (0)
- Chapter 5 – Linear Codes (2017) (0)
- Correction to: A new distance-regular graph of diameter 3 on 1024 vertices (2019) (0)
- Irreducible cyclic ℤ4—codes and allied sequences (2015) (0)
- Generalization of the Norse Bounds to Codes (1989) (0)
- Good Stabilizer Codes from Quasi-Cyclic Codes over F 4 and F 9 Martianus (2019) (0)
- A New Secrecy Function for Modular Lattices (2016) (0)
- Skew Cyclic Codes (2017) (0)
- On one-lee weight and two-lee weight $ \mathbb{Z}_2\mathbb{Z}_4[u] $ additive codes and their constructions (2021) (0)
- Finite Fields and Their Applications (2012) (0)
- Chapter 3 – Distances (2017) (0)
- Packing Radius vs Covering Radius (1993) (0)
- Type II codes over Z/sub 4/ (1997) (0)
- C R ] 1 5 N ov 2 01 8 On isodual double polycirculant codes ∗ (2018) (0)
- New Classes of p-Ary Few Weight Codes (2017) (0)
- Chapter 13 – Convolutional Codes (2017) (0)
- 2- and 3-Modular lattice wiretap codes in small dimensions (2015) (0)
- How many weights can a linear code have? (2018) (0)
- A Covering Problem in the Odd Graphs (1988) (0)
- Correction to: New constructions of entanglement-assisted quantum codes (2021) (0)
- On self-dual and LCD double circulant and double negacirculant codes over $\mathbb{F}_q + u\mathbb{F}_q$. (2018) (0)
- Combinatorics Enumerative Combinatorics (2022) (0)
- Chapter 7 – Cyclic Codes (2017) (0)
- Bounds on the Minimum Homogeneous Distance of the -ary Image of Linear Block Codes Over the (2007) (0)
- Covering radius of the circuit code (1988) (0)
- On the proximity of large primes (2017) (0)
- Noncommutative rings and their applications : International Conference on Noncommutative Rings and Their Applications, July 1-4, 2013, Université d'Artois, Lens, France (2015) (0)
- Lattice Codes for the Gaussian Wiretap Channel (invited paper) (2011) (0)
- Constructive spherical codes near the Shannon bound (2012) (0)
- On isodual double polycirculant codes (2018) (0)
- Cyclic codes and self-dual codes over M2(F2) and M2(F2[i]) (2011) (0)
- Quadratic residue codes, rank three groups and PBIBDs (2021) (0)
- A new distance-regular graph of diameter 3 on 1024 vertices (2019) (0)
- Linear codes with few weights over $\mathbb{F}_2+u\mathbb{F}_2$ (2018) (0)
- Bounds on theMinimum Homogeneous Distance of thepr-aryImage of LinearBlock Codes overtheGaloisRing GR(pr,m) (2007) (0)
- Quantizing and decoding for usual lattices in the LP-metric (1993) (0)
- Few Weight Codes (2017) (0)
- Covering Radius of Melas Codes (2022) (0)
- On the lifted Zetterberg code (2015) (0)
- Lattice Codes for the Binary Deletion Channel (2014) (0)
- Two and three weight codes over Fp+uFp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {F}_{p}+u\mathbb {F}_{p}$ (2016) (0)
- Self-dual bent sequences for complex Hadamard matrices (2022) (0)
- Correction: Self-orthogonal codes over a non-unital ring and combinatorial matrices (2023) (0)
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What Schools Are Affiliated With Patrick Solè?
Patrick Solè is affiliated with the following schools: