Title :
Constructions of codes from residue rings of polynomials
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
11/1/2002 12:00:00 AM
Abstract :
We present one construction for nonlinear codes and one construction for binary constant-weight codes based on residue rings of polynomials. It turns out that the first construction yields nonlinear codes with reasonable parameters, and a bound of Graham and Sloane (1980) is improved by the second construction
Keywords :
algebraic codes; binary codes; nonlinear codes; polynomials; algebraic structure; binary constant-weight codes; code construction; code parameters; nonlinear codes; polynomials; residue rings; Chaotic communication; Codes; Combinatorial mathematics; Galois fields; Geometry; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.804110
