基于子空间多项式的循环子空间码的构造OA
Construction of Cyclic Subspace Codes Based on Subspace Polynomials
首先,针对子空间轨道长度与子空间多项式指数之间联系的结论,给出一较简洁的证明;其次,通过对子空间做Frobenius移位与合并循环子空间码,得到码字个数更多(rnqN-1/q-1)、极小距离为2k-2的循环子空间码;最后,给出构造循环子空间码的实例.
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.
张嘉璇;金永;黄紫芯
中国民航大学理学院,天津 300300中国民航大学理学院,天津 300300中国民航大学理学院,天津 300300
数理科学
循环子空间码子空间多项式Frobenius移位轨道
cyclic subspace codesubspace polynomialsFrobenius shiftorbit
《吉林大学学报（理学版）》 2026 (2)
251-257,7
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).
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