吉林大学学报（理学版）2026，Vol.64Issue(2)：251-257,7.DOI:10.13413/j.cnki.jdxblxb.2025208
基于子空间多项式的循环子空间码的构造
Construction of Cyclic Subspace Codes Based on Subspace Polynomials
摘要
Abstract
Firstly,we gave a relatively concise proof concerning the relationship between the length of subspace orbits and the exponent of subspace polynomials.Secondly,by applying Frobenius shifts to subspaces and merging cyclic subspace codes,we obtained cyclic subspace codes with a larger size of rnqN-1/q-1and a minimum distance of 2k-2.Finally,we gave an example of constructing a cyclic subspace code.关键词
循环子空间码/子空间多项式/Frobenius移位/轨道Key words
cyclic subspace code/subspace polynomials/Frobenius shift/orbit分类
数理科学引用本文复制引用
张嘉璇,金永,黄紫芯..基于子空间多项式的循环子空间码的构造[J].吉林大学学报（理学版）,2026,64(2):251-257,7.基金项目
国家自然科学基金(批准号:12301670)和天津市教委科研项目(批准号:2023ZD041). （批准号:12301670）
