Some codes over R = R1R2R3 and their applications in secret sharing schemes

被引:0
作者
Chatouh, Karima [1 ]
机构
[1] Univ Batna 1, Fac Econ Commercial & Management Sci, Lab Dapplicat Math informat & Elect, Batna, Algeria
关键词
Torsion Codes; Simplex and MacDonald codes; Secret sharing schemes; Association schemes; LINEAR CODES;
D O I
10.1007/s13370-023-01143-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Simplex and MacDonald codes have received significant attention from researchers since the inception of coding theory. In this work, we present the construction of linear torsion codes for simplex and MacDonald codes over the ring R =R1R2R3. We have introduced a novel family of linear codes over F-p. These codes have been extensively examined with respect to their properties, such as code minimality, weight distribution, and their applications in secret sharing schemes. In addition to this investigation, we have discovered that these codes are also applicable to the association schemes of linear torsion codes for simplex and MacDonald codes over. R = R1R2R3.
引用
收藏
页数:13
相关论文
共 9 条
  • [1] Ashikhmin A, 1994, P EIDMA WINTER M COD
  • [2] Simplex and MacDonald codes over Rq
    Chatouh, K.
    Guenda, K.
    Gulliver, T. A.
    Noui, L.
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 55 (1-2) : 455 - 478
  • [3] Chatouh K, 2017, J APPL MATH COMPUT, V53, P201, DOI 10.1007/s12190-015-0964-9
  • [4] Chatouh K., 2020, COMPU APPL MATH, V39, P1, DOI [10.1007/s40314-020-01181-z, DOI 10.1007/S40314-020-01181-Z]
  • [5] DELSARTE P, 1973, PHILIPS RES REP, P1
  • [6] Secret-sharing with a class of ternary codes
    Ding, CS
    Kohel, DR
    Ling, S
    [J]. THEORETICAL COMPUTER SCIENCE, 2000, 246 (1-2) : 285 - 298
  • [7] Ku-Cauich JC., 2009, Int. J. Pure Appl. Math, V57, P87
  • [8] A new class of optimal linear codes with flexible parameters
    Luo, Gaojun
    Cao, Xiwang
    Xu, Guangkui
    Xu, Shanding
    [J]. DISCRETE APPLIED MATHEMATICS, 2018, 237 : 126 - 131
  • [9] Wang YK, 2019, COMPUT APPL MATH, V38, DOI 10.1007/s40314-019-0937-y