• DocumentCode
    918919
  • Title

    A new family of almost difference sets and some necessary conditions

  • Author

    Zhang, Yuan ; Lei, Jian Guo ; Zhang, Shao Pu

  • Author_Institution
    Dept. of Math., Shanghai Jiao Tong Univ., Shijiazhuang, China
  • Volume
    52
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    2052
  • Lastpage
    2061
  • Abstract
    Almost difference sets have important applications in cryptography and coding theory. In this paper, new families of almost difference sets are constructed. Some necessary conditions for the existence of (v,k,λ,t)-almost difference sets in Zv are derived.
  • Keywords
    cryptography; encoding; set theory; almost difference sets; coding theory; cryptography; Codes; Cryptography; Electronic mail; Mathematics; Polynomials; Almost difference set; Hall polynomial; cyclotomic class; cyclotomy;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.872969
  • Filename
    1624640