ISSN 0253-2778

CN 34-1054/N

open
Free to Publish. Free to Read.
Open AccessOpen Access JUSTC Original Paper

Skew cyclic codes over F q[u,v]/〈u2-1, v3-v, uv-vu〉

  • School of Mathematical Sciences, Anhui University. Hefei 230601, China

Cite this: JUSTC, 2017, 47(10): 862-868
https://doi.org/10.3969/j.issn.0253-2778.2017.10.009
Funds: Supported by NNSF of China (61672036), Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China (05015133), the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (2015D11) and Key projects of support program for outstanding young talents in Colleges and Universities (gxyqZD2016008), Natural Science Research Project of Higher Education of Anhui Province of China(KJ2015JD18).
More Information
  • Author Bio:

    GUAN Yue, female, born in 1994, Master candidate. Research field: algebra code. E-mail: guanyueeee@163.com

  • Corresponding author:

    SHI Minjia

  • Received Date: June 08, 2016
  • Revised Date: January 06, 2017
  • Published Date: October 30, 2017
    Abstract
  • The skew cyclic codes over R=
    • FullText(HTML)
    References (13)
    Related Articles
    Track Citations

Catalog

    Get Citation
    {{if article.pdfAccess}}
    {{if article.articleBusiness.pdfLink && article.articleBusiness.pdfLink != ''}} {{else}} {{/if}}PDF
    {{/if}}
    XML
    [1]
    BOUCHER D, GEISELMANN W, ULMER F. Skew-cyclic codes[J]. Applicable Algebra Engineering Communication & Computing, 2007, 18(4) 379-389.
    [2]
    BOUCHER D, ULMER F. Coding with skew polynomial ring[J]. Journal of Symbolic Computation, 2009, 44(12): 1644-1656.
    [3]
    CAO Y L. Quasi-cyclic codes of index 2 and skew polynomial rings over finite fields[J]. Finite Fieids and Their Applications, 2014, 27: 143-158.
    [4]
    BOUCHER D, ULMER F. Self-dual skew codes and factorization of skew polynomials[J]. Journal of Symbolic Computation, 2014, 60(1): 47-61.
    [5]
    ABUALRUB T, GHRAYEB A, AYDIN N, et al. On the construction of skew quasi-cyclic codes[J]. IEEE Transactions on Information Theory, 2010, 56(5): 2081-2090.
    [6]
    JITMAN S, LING S, UDOMKAVANICH P. Skew constacyclic codes over finite chain rings[J]. Advances in Mathematics Communications, 2010, 6(1): 39-63.
    [7]
    AYDIN N, ABUALRUB T, SENEVIRATNE P. On θ-cyclic codes over F2+vF2[J]. Australian Journal of Combinatorics, 2012, 54: 115-126.
    [8]
    GAO J. Skew cyclic codes over Fp + vFp[J]. Journal of applied mathematics & informatics, 2013, 31(3-4): 337-342.
    [9]
    GURSOY F, SIAP I, YILDIZ B. Construction of skew cyclic codes over Fq+vFq[J]. Advances in Mathematics of Communications, 2014, 8(3): 313-322.
    [10]
    ASHRAF M, GHULAM M. On skew cyclic codes over F3 + vF3[J]. International Journal of Information & Coding Theory, 2014, 2(4): 218-225.
    [11]
    SHI M J, YAO T, ALAHMADI A, et al. Skew cyclic codes over Fp+vFp+v2Fq[J]. The Institute of Electronics, Information and Communication Engineers, 2015, 98(8): 1845-1848.
    [12]
    YAO T, SHI M J, SOL P. Skew cyclic codes over Fp +u Fp +vFq +uvFq[J]. Journal of Algebra Combinatorics Discrete Structures & Applications, 2015, 2(3): 163-168.
    [13]
    SIAP I, ABUALRUB T, AYDIN N, et al. Skew cyclic codes of arbitrary length[J]. International Journal of Information & Coding Theory, 2011, 2(1): 10-20.

    Related Articles

    [1]LU Yaqi, SHI Minjia, WU Wenting, XIAO Aqing. On self-dual and LCD double circulant codes over Fq+uFq+vFq+uvFq[J]. JUSTC, 2018, 48(11): 890-897. DOI: 10.3969/j.issn.0253-2778.2018.11.004
    [2]WU Rongsheng, SHI Minjia, DING Shuangshuang. MacWilliams identities of linear codes with respect to RT metric over Mn×s(F l+v F l+…+vk-1 l)[J]. JUSTC, 2018, 48(2): 97-104. DOI: 10.3969/j.issn.0253-2778.2018.02.002
    [3]CHEN Yanna, WU Huazhang, SHI Minjia. Linear codes and their weight enumerators over the ring Fp+uFp+vFp+uvFp[J]. JUSTC, 2017, 47(11): 899-905. DOI: 10.3969/j.issn.0253-2778.2017.11.003
    [4]DING Jian, LI Hongju. The Gray image of a class of constacyclic codes over the ring Fpm[u]/[J]. JUSTC, 2017, 47(7): 610-620. DOI: 10.3969/j.issn.0253-2778.2017.07.009
    [5]QIAN Liqin, SHI Minjia, SOK Lin, PING Jingshui. Quadratic residue codes over Fp+u Fp+ v Fp+uv Fp+v2 Fp+uv2 Fp[J]. JUSTC, 2017, 47(7): 602-609. DOI: 10.3969/j.issn.0253-2778.2017.07.008
    [6]DING Jian, LI Hongju. Construction of optimal codes with Homogeneous distance[J]. JUSTC, 2015, 45(7): 588-593. DOI: 10.3969/j.issn.0253-2778.2015.07.013
    [7]LI Jin. Quantum codes from cyclic codes over ring Fq+uFq[J]. JUSTC, 2015, 45(3): 199-204. DOI: 10.3969/j.issn.0253-2778.2015.03.004
    [8]DING Jian, LI Hongju. (1+u)-constacyclic codes over the ring F2+uF2+u2F2[J]. JUSTC, 2015, 45(1): 40-47. DOI: 10.3969/j.issn.0253-2778.2015.01.007
    [9]HUANG Lei, ZHU Shixin. Negacyclic codes of arbitrary lengths over ring Fq+uFq+u2Fq[J]. JUSTC, 2014, 44(12): 991-995. DOI: 10.3969/j.issn.0253-2778.2014.12.005
    [10]SONG Xianmei, ZHU Shixin. Constacyclic codes over Rk[J]. JUSTC, 2014, 44(3): 203-206. DOI: 10.3969/j.issn.0253-2778.2014.03.006
    TrendMD
    Volume 47 Issue 10 PP. 862-868
    Cover

    Article Metrics

    Article views (634) PDF downloads (279)

    Copyright © Editorial Office of JUSTC, All Rights Reserved. 皖ICP备05002528号

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return