2022/06/28 by Minjia Shi, Xuan Wang, Shi, Minjia +1
Computer Science · Engineering · #94B05 #Cellular Automata and Applications #Coding theory and cryptography #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2206.13810
openalex publication_date 2022/06/28 · openalex created_date 2022/07/01 · openalex updated_date 2026/07/28
In the paper, we firstly study the algebraic structures of ℤp ℤpk-additive cyclic codes and give the generator polynomials and the minimal spanning set of these codes. Secondly, a necessary and sufficient condition for a class of ℤpℤp2-additive codes whose Gray images are linear (not necessarily cyclic) over ℤp is given. Moreover, as for some special families of cyclic codes over ℤ9 and ℤ3 ℤ9, the linearity of the Gray images is determined.