Robert McEliece
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American mathematician
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Robert McEliecemathematics Degrees
Mathematics
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#345
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Algebra
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#161
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#28
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Measure Theory
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#795
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#237
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Mathematics
Why Is Robert McEliece Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert J. McEliece was the Allen E. Puckett Professor and a professor of electrical engineering at the California Institute of Technology best known for his work in error-correcting coding and information theory. He was the 2004 recipient of the Claude E. Shannon Award and the 2009 recipient of the IEEE Alexander Graham Bell Medal. He was a life fellow of the IEEE and was elected to the National Academy of Engineering in 1998.
Robert McEliece's Published Works
Published Works
- A public key cryptosystem based on algebraic coding theory (1978) (1638)
- On the inherent intractability of certain coding problems (Corresp.) (1978) (1414)
- Turbo Decoding as an Instance of Pearl's "Belief Propagation" Algorithm (1998) (1024)
- The capacity of the Hopfield associative memory (1987) (914)
- Theory of Information and Coding (1979) (790)
- The generalized distributive law (2000) (789)
- On sharing secrets and Reed-Solomon codes (1981) (649)
- Finite Fields for Computer Scientists and Engineers (1986) (519)
- Channels with block interference (1984) (426)
- New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities (1977) (416)
- On the BCJR trellis for linear block codes (1996) (252)
- Channel assignment in cellular radio (1989) (241)
- Transfer function bounds on the performance of turbo codes Pasadena (1995) (237)
- On the decoder error probability for Reed-Solomon codes (1986) (178)
- Practical codes for photon communication (1981) (167)
- The Guruswami-Sudan Decoding Algorithm for Reed-Solomon Codes (2003) (114)
- Dynamic channel assignment in cellular radio (1990) (108)
- Weights of Irreducible Cyclic Codes (1972) (108)
- Finite field for scientists and engineers (1987) (106)
- The trellis complexity of convolutional codes (1995) (105)
- Lower bounds on data collection time in sensory networks (2004) (105)
- Coding theorems for turbo code ensembles (2002) (102)
- The Lovasz bound and some generalizations (1978) (101)
- Irreducible Cyclic Codes and Gauss Sums (1975) (95)
- Asynchronous multiple-access channel capacity (1981) (85)
- Iterative algebraic soft-decision list decoding of Reed-Solomon codes (2005) (85)
- Packets distribution algorithms for sensor networks (2003) (81)
- The Theory of Information and Coding: Information theory (2002) (80)
- Encyclopedia of Mathematics and Its Applications: The Theory of Information and Coding: A Mathematical Framework for Communication (1984) (78)
- The Generalized Distributive Law and Free Energy Minimization (2001) (78)
- Weight congruences for p-ary cyclic codes (1972) (77)
- Iterative decoding on graphs with a single cycle (1998) (74)
- Effective free distance of turbo codes (1996) (70)
- Euler products, cyclotomy, and coding☆ (1972) (68)
- Efficient universal noiseless source codes (1981) (66)
- Are Turbo-like Codes Effective on Nonstandard Channels?* (2001) (65)
- An information theoretic study of communication in the presence of jamming (1981) (60)
- On the complexity of reliable communication on the erasure channel (2001) (58)
- Belief Propagation on Partially Ordered Sets (2003) (57)
- A Property of Euclid’s Algorithm and an Application to Padé Approximation (1978) (56)
- Performance limits for channelized cellular telephone systems (1994) (56)
- Irregular Repeat – Accumulate Codes 1 (2000) (55)
- The Reliability of Single-Error Protected Computer Memories (1988) (55)
- Trellis decoding complexity of linear block codes (1996) (54)
- Some High-Rate Near Capacity Codecs for the Gaussian Channel (1996) (52)
- RA Codes Achieve AWGN Channel Capacity (1999) (50)
- Enumerators for protograph ensembles of LDPC codes (2005) (47)
- A note on the Griesmer bound (1973) (46)
- Two-dimensional burst identification codes and their use in burst correction (1988) (45)
- A VLSI decomposition of the deBruijn graph (1989) (45)
- Introduction to the special issue on codes on graphs and iterative algorithms (2001) (45)
- Subspace subcodes of Reed-Solomon codes (1994) (45)
- Hide and Seek, Data Storage, and Entropy (1971) (44)
- The Rényi redundancy of generalized Huffman codes (1988) (43)
- Some Information Theoretic Saddlepoints (1985) (42)
- Finite-state codes (1988) (37)
- Bounds on the Average Binary Minimum Distance and the Maximum Likelihood Performance of Reed (2005) (36)
- How to Compute Weight Enumerators for Convolutional Codes (2006) (36)
- Performance analysis of turbo codes (1995) (34)
- Scheduling algorithms for wireless ad-hoc sensor networks (2002) (34)
- A note on the Griesmer bound (Corresp.) (1973) (33)
- BSC Thresholds for Code Ensembles Based on “Typical Pairs” Decoding (2001) (32)
- On the existence of optimum cyclic burst-correcting codes (1986) (32)
- Node Synchronization for the Viterbi Decoder (1983) (32)
- A Study of Viterbi's Ratio-Threshold AJ Technique (1984) (31)
- Communication in the Presence of Jamming-An Information-Theoretic Approach (1983) (31)
- Reed-Solomon Codes and the Exploration of the Solar System (1994) (29)
- Correlation Properties of Sets of Sequences Derived from Irreducible Cyclic Codes (1980) (29)
- Linear Recurring Sequences Over Finite Fields (1967) (29)
- The Constantin-Rao Construction for Binary Assymmetric Error-Correcting Codes (1979) (28)
- On the Average List Size for the Guruswami-sudan Decoder * (27)
- On the Performance of Sphere Decoding of Block Codes (2009) (26)
- On periodic sequences from GF(q) (1971) (26)
- Truncation effects in Viterbi decoding (1989) (26)
- Iterative min-sum decoding of tail-biting codes (1998) (25)
- The reliability of computer memories (1985) (25)
- Zeros of Functions in Finite Abelian Group Algebras (1976) (25)
- Interpolation multiplicity assignment algorithms for algebraic soft-decision decoding of Reed-Solomon codes (2003) (25)
- Ramsey bounds for graph products (1971) (24)
- The Ultimate Limits of Binary Coding for a Wideband Gaussian Channel (1974) (24)
- Coding protection for magnetic tapes: A generalization of the Patel - Hong code (1985) (23)
- The partition weight enumerator of MDS codes and its applications (2005) (23)
- On the capacity of channels with block memory (1988) (23)
- There is no MacWilliams identity for convolutional codes (Corresp.) (1977) (22)
- Factorization of polynomials over finite fields (1969) (20)
- Phased burst error-correcting array codes (1993) (19)
- Comments on 'A class of codes for axisymmetric channels and a problem from the additive theory of numbers' by Varshanov, R. R (1973) (18)
- A low-rate improvement on the Elias bound (Corresp.) (1974) (17)
- On the Average Complexity of Reed–Solomon List Decoders (2013) (17)
- Maximal codeword lengths in Huffman codes (1992) (17)
- Soft decision decoding of block codes (1978) (16)
- An improved upper bound on the block coding error exponent for binary-input discrete memoryless channels (Corresp.) (1977) (16)
- The number of stable points of an infinite-range spin glass memory (1985) (16)
- The Viterbi decoding complexity of linear block codes (1994) (16)
- Introduction to Discrete Mathematics (1989) (15)
- Performance enhancements for algebraic soft decision decoding of Reed-Solomon codes (2004) (15)
- An inequality on entropy (1995) (15)
- A Note on the Wide-Band Gaussian Broadcast Channel (1986) (15)
- Data Fusion Algorithms for Collaborative Robotic Exploration (2002) (15)
- On the Design of Concatenated Coding Systems With Interleavers (1998) (15)
- Weights of cyclic codes (1966) (14)
- A Study of Optimal Abstract Jamming Strategies vs. Noncoherent MFSK (1983) (14)
- A Turán Inequality Arising in Information Theory (1981) (14)
- Coding for Optical Channels With Photon-Counting (1979) (14)
- The practical limits of photon communication (1979) (13)
- Performance of binary block codes at low signal-to-noise ratios (1992) (13)
- The Theory of Information and Coding: Student Edition (2004) (13)
- Algebraic list-decoding of Reed-Solomon product codes (2006) (12)
- Performance of sphere decoding of block codes (2006) (12)
- Symbol synchronization in convolutionally coded systems (Corresp.) (1979) (11)
- Some VLSI decompositions of the de Bruijn graph (1992) (11)
- The undetected error probability for Reed-Solomon codes (1988) (10)
- Iterative Decoding for Sudoku and Latin Square Codes (2007) (10)
- An improved upper bound on the block coding error exponent for binary input discrete memoryless channels (1976) (10)
- Sphere-packing in the Hamming metric (1969) (10)
- Some Partial Unit Memory Convolutional Codes (1991) (10)
- Iterative Algebraic Soft Decision Decoding of Reed-Solomon Codes (2004) (9)
- HIDING AND COVERING IN A COMPACT METRIC SPACE (1973) (9)
- Trace-Shortened Reed-Solomon Codes (1994) (8)
- CAPACITY AND CODING IN THE PRESENCE OF FADING AND JAMMING. (1981) (8)
- Lifetime analyses of error-control coded semiconductor RAM systems (1982) (8)
- Convergence analysis of SCCC and SCTCM with 'in-line' interleaver (2003) (8)
- AVERAGE-CASE OPTIMIZED BUFFERED DECODERS. (1985) (8)
- There is no MacWilliams identity for convolutional codes. [transmission gain comparison] (1977) (7)
- Weights Modulo 8 in Binary Cyclic Codes (1972) (7)
- Trellis Complexity Bounds for Decoding Linear Block Codes (1995) (7)
- Capacity of the generalized PPM channel (2004) (7)
- The Constantin-Rao construction for binary asymmetric error-correcting codes. [Deep Space Network] (1979) (6)
- A dynamic graph algorithm for the highly dynamic network problem (2006) (6)
- Data expansion with Huffman codes (1995) (6)
- The general theory of convolutional codes (1993) (6)
- Introduction to the special issue on codes and complexity (1996) (6)
- The Optimal Code Rate vs. a Partial Band Jammer (1982) (6)
- Further results on finite-state codes (1988) (6)
- Achieving the Shannon Limit: A Progress Report (2000) (6)
- General coding theorems for turbo-like codes (2000) (6)
- On the symmetry of good nonlinear codes (1970) (6)
- Decoding with multipliers (1976) (6)
- Performance limits for FDMA cellular systems described by hypergraphs (1991) (6)
- Random Sensory Networks: A Delay Analysis (2009) (6)
- Entropy and mutual information (2002) (5)
- Estimating the size of Huffman code preambles (1993) (5)
- The decoding of Reed-Solomon codes (1988) (5)
- The Bounds of Delsarte and Lovász, and Their Applications to Coding Theory (1979) (5)
- Some Easily Analyzable Convolutional Codes (1989) (5)
- Permutations preserving divisibility (2001) (4)
- Covering Tori with Squares (1973) (4)
- Delay issues in linear sensory networks (2004) (4)
- The Ultimate Limits of Information Density (1988) (4)
- Crosscorrelation Properties of m-Sequences (1987) (4)
- Some Properties Of Memoryless Multiterminal Interference Channels (1991) (4)
- Asymptotic weight enumerators of randomly punctured, expurgated, and shortened code ensembles (2008) (4)
- A Comparison of Cdma and Frequency Hopping in a Cellular Environment (1992) (4)
- Multiple-access channels without synchronization (1977) (4)
- Coding for the photon channel (1979) (3)
- Optimal Worst-Case QoS Routing in Constrained AWGN Channel Network (2007) (3)
- Constrained Entropy, Free Energy, and the Legendre Transform ∗ (2005) (3)
- The Extended Invariant Factor Algorithm with Application to the Forney Analysis of Convolutional Codes (1993) (3)
- A Markov chain model for the burst error statistics of Viterbi decoding (1990) (3)
- An entropy maximization problem related to optical communication (1986) (3)
- Life, the Universe and entropy (2006) (3)
- Counting minimal generator matrices (1994) (3)
- Intersymbol Interference in Pulse-Amplitude Modulation Signaling Systems Satisfying a Spectral Mask Constraint (2002) (3)
- Constructions for finite-state codes (1987) (2)
- Existence, Uniqueness, and Optimality of Sibling-Property Codes for Infinite Sources (2006) (2)
- Coding for optical channels with photon-counting. [deep space network] (1979) (2)
- A Golay-Viterbi Concatenated Coding Scheme for MJS'77 (1973) (2)
- A simple decision procedure for Hofstadter’s Mitt-system (1988) (2)
- An Error-Control Code with an Imbalance of Ones and Zeros to Provide a Residual Carrier Component (1986) (2)
- Golay-Viterbi Decoding: Results of the MVM'73 X-Band Telemetry Experiment (1974) (2)
- A Generalization of Difference Sets (1967) (2)
- Timesharing without synchronization (1976) (2)
- A Probabilistic Version of Sperner's TheoremWith Applications to the Problem of Retrieving Information From a Data Base (1978) (2)
- Modeling artificial, mobile swarm systems (2003) (2)
- Minimal Trellises for Linear Block Codes and Their Duals (1995) (2)
- Information, coding and mathematics : proceedings of workshop honoring Prof. Bob McEliece on his 60th birthday (2002) (2)
- Interleaved block codes for the photon channel (1980) (2)
- ON SIMPLIFIED MODELLING OF THE LEAKY BUCKET (2001) (2)
- Soft error correction for increased densities in VLSI memories (1984) (1)
- BCH, Reed–Solomon, and related codes (2002) (1)
- The Theory of Information and Coding: Entropy and mutual information (2004) (1)
- The Theory of Information and Coding: Variable-length source coding (2002) (1)
- Decoding the universe: How the new science of information is explaining everything in the cosmos, from our brains to black holes [Book Review] (2006) (1)
- The Theory of m-Sequences (1987) (1)
- Speaking of Communication (1986) (1)
- The Theory of Information and Coding: Preface to the first edition (2004) (1)
- The Theory of Information and Coding: References (2002) (1)
- The Theory of Information and Coding: Cyclic codes (2002) (1)
- Linear Recurrences over Finite Fields (1987) (1)
- Junction tree representations for linear block codes (1998) (1)
- Caltech Undergraduate Research Journal (CURJ) : [1996]- 1997 (1998) (1)
- Results to get Maximal Quasihermitian Curves. New possibilities for AG Codes (2002) (1)
- Heavy traffic performance of a class of channel assignment algorithms (cellular telephone systems) (1992) (1)
- Coding for optical channels (1979) (1)
- Some Mysterious Sequences Associated with LDPC Codes (2007) (1)
- Frequency-E cient Coding with Low-Density Generator Matrices (1997) (1)
- Performance of Some Block Codes on a Gaussian Channel (1975) (1)
- A comparison of CDMA and frequency hopping in a cellular environment (1992) (1)
- Error and erasure probabilities for Galileo uplink code (1985) (1)
- On the inherent intractability of finding good codes (1977) (1)
- The Theory of Information and Coding: A Framework for Communication (volume 3 of Encyclopedia of Mathematics and Its Applications.) (1980) (1)
- Average distance structures of random convolutional codes (1988) (1)
- Trace, Norm, and Bit-Serial Multiplication (1987) (1)
- Factoring Polynomials over Finite Fields (1987) (1)
- Buffer occupancy of statistical multiplexers with periodic interchangeable traffic in ATM networks (1997) (1)
- An optimization method for designing high rate and high performance SCTCM systems with in-line interleavers (2004) (1)
- Capacity of the Generalized Pulse-Position Modulation Channel (2005) (0)
- An Easy-to-implement Coding Scheme for Multifrequency PPM (1984) (0)
- The Theory of Information and Coding: Finite fields (2002) (0)
- IlL Transfer Function for ZRL Codes (0)
- An Electrifying Century - Electrical Engineering: An Early History of the Caltech EE Department (2010) (0)
- Modifications of the Griesmer bound (1991) (0)
- The Generalized Distributive Law * a Portion of Mceliece's Contribution Was Performed at the Sony Corporation in Tokyo, While He Was a Holder of a Sony Sabbatical Chair (0)
- Figure 3. Junction Tree for Gdl Example Local Domain Local Kernel Fx 1 G (0)
- Gus' last theorem? Fast multiplication in GF (2/sup m/) (1997) (0)
- A probabilistic Sperner's theorem, with applications to the problem of retrieving information from a data base (1978) (0)
- The Theory of Information and Coding: Linear codes (2002) (0)
- Introduction to discrete mathematics / Robert J. McEliece, Robert B. Ash, Carol Ash (1989) (0)
- The Theory of Information and Coding: Section editor's foreword (2002) (0)
- The Theory of Information and Coding: Survey of advanced topics for part one (2002) (0)
- Finding the best path in a binary Block Interference network (2008) (0)
- Synchronization strategies for RFI channels (1977) (0)
- Finite Fields Exist and are Unique (1987) (0)
- Trellis-canonical generator matrices for convolutional codes (1997) (0)
- Review of 'A Collection of Contributions in Honour of Jack Van Lint (Topics in Discrete Mathematics, vol. 7)' (Cameron, P.J., and van Tilborg, H.C.A., Eds.; 1992) (1994) (0)
- The Theory of Information and Coding: Discrete memoryless channels and their capacity–cost functions (2004) (0)
- AG Goppa Codes from Maximal Curves over determined Finite Fields of characteristic 2 (2006) (0)
- Uncorrectable sequences and telecommand (1993) (0)
- The Theory of Information and Coding: The Gaussian channel and source (2004) (0)
- GERHARD KRAMER, Publications Editor ADRIAAN J. VAN WIJNGAARDEN, Publications Editor (2005) (0)
- Gus' Last Theorem? Fast Multiplication i (2 (1997) (0)
- The Theory of Information and Coding: Editor's statement (2002) (0)
- The Combinatorics of Differentiation (2008) (0)
- Cyclic codes and exponential sums (1969) (0)
- The R sub 0 parameter for the Gaussian channel (1981) (0)
- The Theory of Information and Coding: Introduction (2002) (0)
- Introduction to Algebraic Soft-decision Decoding of Reed-solomon Codes (0)
- Unique Factorization in Euclidean Domains (1987) (0)
- Discrete memoryless sources and their rate-distortion functions (2002) (0)
- Reliable Communication in the Presence of Severe Noise or Jamming (1993) (0)
- OPTIMUM BINARY CYCLIC BURST CORRECTING CODES. (1986) (0)
- Advances In Coding For Nearly Errorless Communication (1993) (0)
- A note on the R sub 0-parameter for discrete memoryless channels (1980) (0)
- Behavior of codes at very low signal-to-noise ratio (1988) (0)
- The Theory of Information and Coding: Convex functions and Jensen's inequality (2002) (0)
- An Analysis of Alternate Symbol Inversion for Improved Symbol Synchronization in Convolutionally Coded Systems (1978) (0)
- Turbo Decoding of High Performance Error-Correcting Codes via Belief Propagation (1998) (0)
- On the Multiuser Error Probability and the Maximum Likelihood Performance of MDS Codes (2006) (0)
- On Generalized Parity Checks (2006) (0)
- Spectrum Allocation Strategies for Communication Networks. (1994) (0)
- The Theory of Information and Coding: Path enumeration in directed graphs (2004) (0)
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (1993) (0)
- Trellis Coding on Fading Channels (2002) (0)
- A Note on Digital Signatures (1979) (0)
- RFI Channels (2010) (0)
- The Theory of Information and Coding: Probability theory (2002) (0)
- Discrete memoryless channels and their capacity–cost functions (2002) (0)
- Euclidean Domains and Euclid’s Algorithm (1987) (0)
- Channe ls with Block Interference (1998) (0)
- Computing the number of rational points. Applications to AG Coding Theory (2008) (0)
- RFI channels, 2 (1981) (0)
- Data Expansion with Huffmian CQ (1994) (0)
- The Guruswam-sudan Decoding Algorithm for Reed-solomon Codes (0)
- Efficient Coding for Optical Communication (1984) (0)
- Safety in Numbers: Protecting Data Mathemagically (1989) (0)
- The Theory of Information and Coding: Convolutional codes (2002) (0)
- PRS Coded Modulation (2002) (0)
- The Gaussian channel and source (2002) (0)
- An asymptotic analysis of a general class of signal detection algorithms (1977) (0)
- Path enumeration in directed graphs (2002) (0)
- Introduction to Coded Modulation (2002) (0)
- The Theory of Information and Coding: The source–channel coding theorem (2002) (0)
- The Trellis Complexity of Convolutio €?S1 (1993) (0)
- The analysis of convolutional codes via the extended Smith algorithm (1993) (0)
- Coding for Spread-Spectrum Channels in the Presence of Jamming (1986) (0)
- ZEROS OF FUNCTIONS IN FINITE (2016) (0)
- Abstract Properties of Finite Fields (1987) (0)
- Recent advances in coding theory for near error-free communications (1991) (0)
- Building Fields from Euclidean Domains (1987) (0)
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