Statistical Mechanics Approach to Coding Theory

被引：0

作者：

A. Procacci

B. Scoppola

机构：

[1] ICEx-UFMG,Departamento de Matematica

[2] Università “La Sapienza” di Roma,Dipartimento di Matimatica

来源：

Journal of Statistical Physics | 1999年 / 96卷

关键词：

cluster expansion; coding theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose a method based on cluster expansion to study the optimal code with a given distance between codewords. Using this approach we find the Gilbert–Varshamov lower bound for the rate of largest code.

引用

页码：907 / 912

页数：5

共 50 条

[41] Is quantum theory a form of statistical mechanics?
Adler, S. L.
THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY, 2007, 67
[42] GIBBS STATISTICAL MECHANICS IN THEORY OF RELATIVITY
MOLLER, C
MATEMATISK-FYSISKE MEDDELELSER UDGIVET AF DET KONGELIGE DANSKE VIDENSKABERNES SELSKAB, 1968, 36 (16): : 3 - &
[43] Is there a unified theory of nonequilibrium statistical mechanics?
Ruelle, D
ANNALES HENRI POINCARE, 2003, 4 (Suppl 1): : S489 - S495
[44] Is There a Unified Theory of Nonequilibrium Statistical Mechanics?
David Ruelle
Annales Henri Poincaré, 2003, 4 : 489 - 495
[45] Statistical mechanics theory of genetic algorithms
Shapiro, JL
THEORETICAL ASPECTS OF EVOLUTIONARY COMPUTING, 2001, : 87 - 108
[46] Statistical mechanics and the theory of link invariants
Wu, FY
MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (8-10) : 323 - 323
[47] From statistical mechanics to nonlocal theory
Yao, Wu-Wen
Zhou, Xiao-Ping
Qian, Qi-Hu
ACTA MECHANICA, 2022, 233 (03) : 869 - 887
[48] Tomography approach in quantum mechanics and in classsical statistical mechanics
Man'ko, VI
BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING, PT 2, 2001, 568 : 437 - 444
[49] Statistical Algebraic Approach to Quantum Mechanics
D. A. Slavnov
Theoretical and Mathematical Physics, 2001, 129 : 1385 - 1397
[50] A different approach to introducing statistical mechanics
Moore, TA
Schroeder, DV
AMERICAN JOURNAL OF PHYSICS, 1997, 65 (01) : 26 - 36

← 1 2 3 4 5 →