Optimal subcodes of formally self-dual codes and their optimum distance profiles

초록

A (binary) formally self-dual code is a linear code whose weight enumerator is equal to that of its dual. Little is known about the existence of optimal subcodes of formally self-dual codes. In this paper we show that some optimal formally self-dual codes actually contain optimal subcodes by computing the optimum distance profiles (ODPs) of linear codes. We determine the ODPs of optimal formally self-dual codes with parameters and and show that they contain optimal subcodes with high minimum weights.

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