A note on full weight spectrum codes
Publish place: Transactions on Combinatorics، Vol: 8، Issue: 3
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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JR_COMB-8-3_003
تاریخ نمایه سازی: 14 اردیبهشت 1400
Abstract:
A linear $ [n,k]_q $ code $ C $ is said to be a full weight spectrum (FWS) code if there exist codewords of each weight less than or equal to $ n $. In this brief communication we determine necessary and sufficient conditions for the existence of linear $ [n,k]_q $ full weight spectrum (FWS) codes. Central to our approach is the geometric view of linear codes, whereby columns of a generator matrix correspond to points in $ PG(k-۱,q) $.
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Authors
Tim Alderson
University of New Brunswick