• DocumentCode
    1291148
  • Title

    New constructions of superimposed codes

  • Author

    Yachkov, Arkadii G D ; Macula, Anthony J., Jr. ; Rykov, Vyacheslav V.

  • Author_Institution
    Dept. of Probability Theory, Moscow State Univ., Russia
  • Volume
    46
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    284
  • Lastpage
    290
  • Abstract
    Kautz-Singleton (1964) suggested a class of binary superimposed codes which are based on the q-ary Reed-Solomon codes (RS codes). Applying a concatenation of the binary constant-weight error-correcting codes and the shortened RS codes, we obtain new constructions of superimposed codes. Tables of their parameters are given. From the tables it follows that the rate of obtained codes exceeds the corresponding random coding bound
  • Keywords
    Reed-Solomon codes; binary codes; concatenated codes; error correction codes; binary constant-weight error-correcting codes; binary superimposed codes; code parameters; concatenated code; generalised Kautz-Singleton codes; q-ary Reed-Solomon codes; random coding bound; shortened RS codes; Arithmetic; Concatenated codes; Equations; Error correction codes; Frequency; Hamming weight; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.817530
  • Filename
    817530