On the weak order ideal associated to linear codes
arXiv:1705.06609
Abstract
In this work we study a weak order ideal associated with the coset leaders of a non-binary linear code. This set allows the incrementally computation of the coset leaders and the definitions of the set of leader codewords. This set of codewords has some nice properties related to the monotonicity of the weight compatible order on the generalized support of a vector in which allow us to describe a test set, a trial set and the set of zero neighbours of a linear code in terms of the leader codewords.
arXiv admin note: substantial text overlap with arXiv:1411.7493