Support Weight Enumerators and Coset Weight Distributions of Isodual Codes

In this paper various methods for computing the support weight enumerators of binary, linear, even, isodual codes are described. It is shown that there exist relationships between support weight enumerators and coset weight distributions of a code that can be used to compute partial information about one set of these code invariants from the other. The support weight enumerators and complete coset weight distributions of several even, isodual codes of length up to 22 are computed as well. It is observed that there exist inequivalent codes with the same support weight enumerators, inequivalent codes with the same complete coset weight distribution and inequivalent codes with the same support weight enumerators and complete coset weight distribution.

• Type: Conference
• Year: 2005
• Where: DCC
• Authors: Olgica Milenkovic
• Keywords: Complete Coset Weight, Computer Graphics, Coset Weight Distributions, DCC 2005, Support Weight Enumerators