Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

被引：1
作者：
Castillo-Guillen, C. A. [1 ]
Renteria-Marquez, C. [2 ]
机构：
[1] Univ Bienestar Benito Juarez Garcia, Dept Math, Tlahuac Ave 6391, Ciudad De Mexico 13360, Mexico
[2] Inst Politecn Nacl, Dept Math, Escuela Super Fis & Matemat, Inst Politecn Nacl Ave S-N, Ciudad De Mexico 07300, Mexico
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2020年 / 28卷 / 02期
关键词：
Chain rings; Commutative finite local rings; Constacyclic codes; Frobenius local rings; NEGACYCLIC CODES;
D O I：
10.2478/auom-2020-0020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p(5) elements (p a prime) and nilpotency index 4 are given. And the number and structure of gamma-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.
引用
收藏
页码：67 / 91
页数：25
相关论文
共 11 条
  • [1] Negacyclic codes over the local ring Z4[v]/⟨v2+2v⟩ of oddly even length and their Gray images
    Cao, Yuan
    Cao, Yonglin
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2018, 52 : 67 - 93
  • [2] Duals of constacyclic codes over finite local Frobenius non-chain rings of length 4
    Castillo-Guillen, C. A.
    Renteria-Marquez, C.
    Tapia-Recillas, H.
    [J]. DISCRETE MATHEMATICS, 2018, 341 (04) : 919 - 933
  • [3] Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3
    Castillo-Guillen, C. A.
    Renteria-Marquez, C.
    Tapia-Recillas, H.
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2017, 43 : 1 - 21
  • [4] On the structure of cyclic codes over the ring Z2s[u]/⟨uk⟩
    Dinh, Hai Q.
    Singh, Abhay Kumar
    Kumar, Pratyush
    Sriboonchitta, Songsak
    [J]. DISCRETE MATHEMATICS, 2018, 341 (08) : 2243 - 2275
  • [5] Cyclic and negacyclic codes over finite chain rings
    Dinh, HQ
    López-Permouth, SR
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (08) : 1728 - 1744
  • [6] Dougherty S. T., 2012, DES CODES CRYPTOGR, V63
  • [7] THE Z4-LINEARITY OF KERDOCK, PREPARATA, GOETHALS, AND RELATED CODES
    HAMMONS, AR
    KUMAR, PV
    CALDERBANK, AR
    SLOANE, NJA
    SOLE, P
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) : 301 - 319
  • [8] Karadeniz S., 2011, DES CODES CRYPTOGR, V58
  • [9] Martinez-Moro E., 2015, CONT MATH, V684, P227
  • [10] McDonald B.R., 1974, Finite Rings with Identity
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