Philippe Delsarte
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Mathematics
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Measure Theory
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Mathematics
Why Is Philippe Delsarte Influential?
(Suggest an Edit or Addition)Philippe Delsarte'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
- AN ALGEBRAIC APPROACH TO THE ASSOCIATION SCHEMES OF CODING THEORY (2011) (964)
- Spherical codes and designs (1977) (937)
- Bilinear Forms over a Finite Field, with Applications to Coding Theory (1978) (638)
- Four Fundamental Parameters of a Code and Their Combinatorial Significance (1973) (302)
- On subfield subcodes of modified Reed-Solomon codes (Corresp.) (1975) (264)
- The Nevanlinna–Pick Problem for Matrix-Valued Functions (1979) (257)
- The split Levinson algorithm (1986) (247)
- Association Schemes and Coding Theory (1998) (237)
- On Generalized Reed-Muller Codes and Their Relatives (1970) (233)
- BOUNDS FOR SYSTEMS OF LINES, AND JACOBI POLYNOMIALS (1975) (229)
- Orthogonal polynomial matrices on the unit circle (1978) (220)
- Association Schemes and t-Designs in Regular Semilattices (1976) (192)
- Signal-adapted multiresolution transform for image coding (1992) (182)
- On the role of the Nevanlinna–Pick problem in circuit and system theory† (1981) (175)
- Bounds for unrestricted codes, by linear programming (1972) (175)
- Weights of linear codes and strongly regular normed spaces (1972) (170)
- Schur Parametrization of Positive Definite Block-Toeplitz Systems (1979) (146)
- Alternating Bilinear Forms over GF(q) (1975) (130)
- On a class of majority-logic decodable cyclic codes (1968) (115)
- Hahn Polynomials, Discrete Harmonics, and t-Designs (1978) (110)
- On the splitting of classical algorithms in linear prediction theory (1987) (99)
- Spectral properties of finite Toeplitz matrices (1984) (82)
- Fisher type inequalities for Euclidean t-designs (1989) (72)
- Speech modelling and the trigonometric moment problem (1982) (68)
- Algebraic constructions of Shannon codes for regular channels (1982) (60)
- On cyclic codes that are invariant under the general linear group (1970) (60)
- A generalization of the Levinson algorithm for Hermitian Toeplitz matrices with any rank profile (1985) (52)
- The Association Schemes of Coding Theory (1975) (45)
- Bounds and constructions for binary asymmetric error-correcting codes (1981) (44)
- Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$ (1976) (44)
- A geometric approach to a class of cyclic codes (1969) (43)
- Orthogonal Matrices with Zero Diagonal. II (1971) (41)
- Irreducible binary cyclic codes of even dimension (1969) (38)
- Unrestricted codes with the golay parameters are unique (1975) (35)
- A simple proof of Rudin's multivariable stability theorem (1980) (34)
- Tridiagonal approach to the algebraic environment of Toeplitz matrices, part I: basic results (1991) (31)
- On the optimal scheduling of periodic tests and maintenance for reliable redundant components (2006) (30)
- Low Rank Matrices with a Given Sign Pattern (1989) (28)
- Tridiagonal approach to the algebraic environment of Toeplitz matrices, part II.: zero and eigenvalue problems (1991) (27)
- Do most binary linear codes achieve the Goblick bound on the covering radius? (1986) (27)
- A strengthening of the Assmus-Mattson theorem (1991) (27)
- The Tridiagonal Approach to Szegö’s Orthogonal Polynomials, Toeplitz Linear Systems, and Related Interpolation Problems (1988) (27)
- Tri-weight Codes and Generalized Hadamard Matrices (1969) (26)
- Planar least squares inverse polynomials: Part I-Algebraic properties (1979) (26)
- Pseudo-lossless functions with application to the problem of locating the zeros of a polynomial (1985) (25)
- Zeros of Functions in Finite Abelian Group Algebras (1976) (25)
- A simple approach to spectral factorization (1978) (24)
- Spectral Enumerators for Certain Additive-Error-Correcting Codes over Integer Alphabets (1981) (24)
- Half-plane Toeplitz systems (1980) (23)
- Majority Logic Decodable Codes Derived from Finite Inversive Planes (1971) (22)
- AUTOMORPHISMS OF ABELIAN CODES (1970) (21)
- Discrete prolate spheroidal wave functions and interpolation. (1985) (21)
- Minimal realizations of pseudo-positive and pseudo-bounded rational matrices (1985) (19)
- On Error-Correcting Codes and Invariant Linear Forms (1993) (18)
- Multichannel singular predictor polynomials (1988) (17)
- Influence of the different biokinetics of sestamibi and tetrofosmin on the interpretation of myocardial perfusion imaging in daily practice (2007) (17)
- A polynomial approach to the generalized Levinson algorithm based on the Toeplitz distance (1983) (17)
- A method of matrix inverse triangular decomposition based on contiguous principal submatrices (1980) (17)
- Onr-partition designs in hamming spaces (1992) (15)
- On the role of the partial trigonometric moment problem in AR speech modelling (1983) (14)
- Extending the T-design Concept (1993) (14)
- Comments on "Proof of a Modified Form fo Shanks" Conjecture on the Stability of 2-D Planar Least Square Inverse Polynomials and Its Implications (1985) (13)
- Some Bounds for the Distribution Numbers of an Association Scheme (1988) (13)
- Partial-optimal piecewise decoding of linear codes (1978) (12)
- Parametric toeplitz systems (1984) (11)
- Stability of linear predictors and numerical range of a linear operator (1987) (11)
- BCH Bounds for a Class of Cyclic Codes (1970) (10)
- GENERALIZED SCHUR REPRESENTATION OF MATRIX-VALUED FUNCTIONS* (1981) (9)
- Fast Cryptanalysis of the Matsumoto-Imai Public Key Scheme (1985) (9)
- An Addition Formula for Hyperbolic Space (1984) (8)
- HEMISYSTEMS , ORTHOGONAL CONFIGURATIONS , AND DISSIPATIVE CONFERENCE MATRICES * ) by (2014) (8)
- An Introduction to the Class of Split Levinson Algorithms (1991) (8)
- On a generalization of the Szegö-Levinson recurrence and its application in lossless inverse scattering (1992) (8)
- An extension of an inequality by Ahlswede, El Gamal and pang for pairs of binary codes (1985) (8)
- Semiregular Convolutional Codes: Definition, Structure, and Examples (1977) (7)
- On the (23, 14, 5) Wagner code (Corresp.) (1980) (7)
- Beyond the orthogonal array concept (2004) (6)
- An extension of the split Levinson algorithm and its relatives to the joint process estimation problem (1989) (6)
- A simple proof of Livingston’s inequality for Carathéodory functions (1989) (6)
- Planar Least-Squares Inverse Polynomials. Part II: Asymptotic Behavior (1980) (6)
- An equivalence relation in planar least squares inverse approximation (1978) (6)
- On the Toeplitz embedding of an arbitrary matrix (1983) (6)
- Half-Plane Minimization of Matrix-Valued Quadratic Functionals (1981) (5)
- On the mathematical foundations of the generalized Levinson algorithm (1982) (5)
- PBL in mathematics : What is a "Good" problem ? (2005) (4)
- An equivalence between bounded multivariable functions and a class of bounded single-variable functions (1981) (3)
- Zero location of lacunary prediction polynomials (1987) (3)
- On the Split Approach Based Algorithms for DSP Problems (1991) (3)
- Stability of multidimensional systems (1980) (3)
- Comment: Extension of RSA crypto-structure: a Galois approach (1982) (3)
- Inversion of Toeplitz operators, Levinson equations, and Gohberg-Krein factorization—A simple and unified approach for the rational case (1982) (3)
- Automorphism Groups of Convolutional Codes (1978) (3)
- A generalization of the Legendre symbol for finite Abelian groups (1979) (2)
- Equivalence Classes of Hermitian Matrices and Their Schur Parametrization (1983) (2)
- Permutation Cascades with Normalized Cells (1973) (2)
- Interpolation type problems in the class of positive trigonometric polynomials of fixed order (1989) (2)
- Stability margins of linear prediction polynomials (1986) (2)
- Real lossless functions of continuous- and discrete-type orthogonal polynomials on the real line, and polynomial stability tests (1991) (1)
- From Natural Language Processing to Logic for Expert Systems: A Logic Based Approach to Artificial Intelligence (1991) (1)
- Correction to "Planar Least Squares Inverse cussed passive and active compensation techniques to improve Polynomials: Part I-Algebraic Properties" the performance of active networks with respect to the use of imperfect amplifiers. The authors of (l) and (4) have looked at (1979) (1)
- Association schemes and coding theory (invited paper) (2000) (1)
- Regular schemes over a finite Abelian group (1979) (1)
- Positive-definite Toeplitz embedding based on the cyclic extension of a data matrix (1985) (1)
- Koga's multivariable stability criterion (1982) (1)
- Combinatorial properties of good codes for binary autoregressive sources (Corresp.) (1980) (0)
- Characterization theorems for bounded and positive two‐variable functions (1979) (0)
- Correction to 'Planar Least Squares Inverse Polynomials: Part I-Algebraic Properties' (1979) (0)
- An Extension of the Montague Semantics (1991) (0)
- ON A NEW THREE-TERM RECURRENCE RELATION IN TOEPLITZ SYSTEM THEORY (2014) (0)
- ZEROS OF FUNCTIONS IN FINITE (2016) (0)
- Correction to 'Bounds and constructions for binary asymmetric error-correcting codes' (Jan 81 125-128) (1990) (0)
- Relationship between the Karhunen-Loéve transform and the Courant-Fischer theorem (1984) (0)
- Algebraic Codes Achieving the Capacity of the Binary Symmetric Channel (1983) (0)
- JACKSON-SZEGÖ SYSTEMS OF ORTHOGONAL TRIGONOMETRIC POLYNOMIALS REVISITED , AND THE SPLIT LEVINSON ALGORITHM (2014) (0)
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What Schools Are Affiliated With Philippe Delsarte?
Philippe Delsarte is affiliated with the following schools:
