Title :
Disjoint linear codes from algebraic function fields
Author :
Niederreiter, Harald ; Xing, Chaoping
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
Abstract :
In this correspondence, we study disjoint linear codes and give constructions of families of disjoint linear codes based on algebraic function fields. It turns out that, for some parameters, our constructions improve on a result of Johansson and Pasalic.
Keywords :
algebraic geometric codes; binary codes; linear codes; Riemann-Roch space; algebraic function field; algebraic-geometry code; disjoint linear code; resilient function; Chaos; Cryptography; Galois fields; Linear code; Notice of Violation; Upper bound; Vectors; Algebraic function field; Riemann–Roch space; algebraic-geometry code; disjoint linear codes; resilient function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.833367