New characterization of full weight spectrum one-orbit cyclic subspace codes

Fuente: arXiv
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Hauptverfasser: Shi, Minjia, Song, Wenhao
Format: Preprint
Veröffentlicht: 2025
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author Shi, Minjia
Song, Wenhao
author_facet Shi, Minjia
Song, Wenhao
contents Castello $\textit{et al}$. [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 $r$-FWS codes.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13418
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New characterization of full weight spectrum one-orbit cyclic subspace codes
Shi, Minjia
Song, Wenhao
Cryptography and Security
Castello $\textit{et al}$. [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 $r$-FWS codes.
title New characterization of full weight spectrum one-orbit cyclic subspace codes
topic Cryptography and Security
url https://arxiv.org/abs/2506.13418