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A note on full weight spectrum codes

07/31/2018

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by Tim L. Alderson, et al.

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A linear [n,k]_q code C is said to be a full weight spectrum (FWS) code if there exist codewords of each nonzero 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-1,q) .

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