Title :
Elementary 2-group character codes
Author :
Ding, Cunsheng ; Kohel, David ; Ling, San
Author_Institution :
Dept. of Comput. Sci., Nat. Univ. of Singapore, Singapore
fDate :
1/1/2000 12:00:00 AM
Abstract :
We describe a class of codes over GF(q), where q is a power of an odd prime. These codes are analogs of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and properties of these codes. For a subclass of codes we find the weight distribution and prove that the minimum nonzero weight codewords give 1-designs
Keywords :
Galois fields; Reed-Muller codes; binary codes; dual codes; group codes; Abelian group character codes; Galois fields; binary Reed-Muller codes; code properties; dual codes; elementary 2-group character codes; minimum nonzero weight codewords; minimum weight; odd prime; weight distribution; Australia; Combinatorial mathematics; Cyclic redundancy check; Linear code;
Journal_Title :
Information Theory, IEEE Transactions on
