Algebraic and Stochastic Coding Theory

Notations and Abbreviations

A list of the notations, definitions, acronyms, and abbreviations used in this book is given below.

{a_ij}, elements of an n × n matrix A

A, an alphabet, e.g., binary A = {0, 1}, ternary A = {0, 1, 2}, and q-ary A = {0, 1, 2, q − 1}; also, a matrix

|A|, length of A; number of elements in A

AES, American Encryption Standard

AND, Boolean logical operator denoted by & or ∧

AND, bitwise operator (& or ∧)

ASCII, American Standard Code for Information Interchange

AWGN, additive white Gaussian noise

A^T, transpose of a matrix A

$A_q(n,d)=\underset{C}{\max }\left|C\right|$, largest possible size of C for which there exists an (n, k, d) code over the alphabet A

b, base or radix of a number system

b_i, i = 1, …, n, received source files (treat like c-nodes) ...