Constructions of Sidon spaces and cyclic subspace codes  

作　　者：He ZHANG Xiwang CAO 

机构地区：[1]Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211100,China [2]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China [3]Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles(NUAA),MIIT,Nanjing 211106,China

出　　处：《Frontiers of Mathematics in China》2022年第2期275-288,共14页中国高等学校学术文摘·数学（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11771007,12171241).

摘　　要：In this paper,we firstly construct several new kinds of Sidon spaces and Sidon sets by investigating some known results.Secondly,using these Sidon spaces,we will present a construction of cyclic subspace codes with cardinality τ,q^(n)-1/q-1 and minimum distance 2k-2,whereτis a positive integer.We further-more give some cyclic subspace codes with size 2τ·q^(n)-1/q-1 and without changing the minimum distance 2k-2.

关 键 词：Sidon spaces Sidon sets cyclic subspace codes minimum distance 

分 类 号：O17[理学—数学]