New characterization of full weight spectrum one-orbit cyclic subspace codes
Minjia Shi, Wenhao Song
TL;DR
This paper advances the understanding of full weight spectrum one-orbit cyclic subspace codes by classifying and analyzing their weight distributions and equivalence classes, extending prior classifications.
Contribution
It introduces new classifications and detailed weight distribution results for FWS codes and their subclasses, building on previous work by Castello et al.
Findings
Determined weight distributions of a family of FWS codes.
Identified equivalence classes of FWS codes under specific conditions.
Provided a complete classification for r-FWS codes.
Abstract
Castello . [J. Comb. Theory Ser. A, 212, 106005 (2025)] provided a complete classification for full weight spectrum (FWS) one-orbit cyclic subspace codes. In this paper, we determine the weight distributions of a family of FWS codes and exhibit some equivalence classes of FWS codes under certain conditions. Furthermore, we provide a complete classification for -FWS codes.
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Taxonomy
TopicsCoding theory and cryptography · Advanced Wireless Communication Techniques · Satellite Communication Systems