A note on full weight spectrum codes
Abstract
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) .
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.