On self-duality and hulls of cyclic codes over F2m[u]⟨uk⟩ with oddly even length

被引：0
|
作者：
Cao, Yonglin [1 ]
Cao, Yuan [1 ,2 ,3 ]
Fu, Fang-Wei [4 ]
机构：
[1] School of Mathematics and Statistics, Shandong University of Technology, Zibo,Shandong,255091, China
[2] Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan,430062, China
[3] Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha,Hunan,410114, China
[4] Chern Institute of Mathematics and LPMC, and Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin,300071, China
来源：
Applicable Algebra in Engineering, Communications and Computing | 2021年 / 32卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：459 / 493
相关论文
共 50 条
  • [1] On self-duality and hulls of cyclic codes over F2m[u]/⟨uk⟩ with oddly even length
    Cao, Yonglin
    Cao, Yuan
    Fu, Fang-Wei
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021, 32 (04) : 459 - 493
  • [2] Cyclic codes over of F2m[u]/⟨uk⟩ Moddly even length
    Cao, Yonglin
    Cao, Yuan
    Fu, Fang-Wei
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2016, 27 (04) : 259 - 277
  • [3] Type 2 constacyclic codes over F2m[u]/⟨u3⟩ of oddly even length
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Fu, Fang-Wei
    Gao, Yun
    Sriboonchitta, Songsak
    DISCRETE MATHEMATICS, 2019, 342 (02) : 412 - 426
  • [4] Complete classification of (δ plus αu2)-constacyclic codes over F2m[u]/⟨u4⟩ of oddly even length
    Cao, Yuan
    Cao, Yonglin
    Ma, Fanghui
    DISCRETE MATHEMATICS, 2017, 340 (12) : 2840 - 2852
  • [5] On the hulls of cyclic codes of oddly even length over Z4
    Pathak, Sachin
    Sharma, Anuradha
    DISCRETE MATHEMATICS, 2024, 347 (03)
  • [6] Construction and enumeration for self-dual cyclic codes of even length over F2m + uF2m
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Fu, Fang-Wei
    Ma, Fanghui
    FINITE FIELDS AND THEIR APPLICATIONS, 2020, 61
  • [7] The dual code of any (δ plus αu2)-constacyclic code over F2m[u]/⟨u4⟩ of oddly even length
    Gao, Yun
    Fu, Fang-Wei
    DISCRETE MATHEMATICS, 2019, 342 (08) : 2179 - 2191
  • [8] On self-duality and hulls of cyclic codes over F2m[u]⟨uk⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{\mathbb {F}_{2^m}[u]}{\langle u^k\rangle }$$\end{document} with oddly even length
    Yonglin Cao
    Yuan Cao
    Fang-Wei Fu
    Applicable Algebra in Engineering, Communication and Computing, 2021, 32 (4) : 459 - 493
  • [9] Cyclic codes over Z4 of oddly even length
    Blackford, T
    DISCRETE APPLIED MATHEMATICS, 2003, 128 (01) : 27 - 46
  • [10] Construction and enumeration for self-dual cyclic codes over Z4 of oddly even length
    Cao, Yuan
    Cao, Yonglin
    Dougherty, Steven T.
    Ling, San
    DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (10) : 2419 - 2446
12345