• Title of article

    Minimal cyclic codes of length pnq

  • Author/Authors

    Gurmeet K. Bakshi، نويسنده , , Madhu Raka، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    17
  • From page
    432
  • To page
    448
  • Abstract
    Explicit expressions for all the 3n+2 primitive idempotents in the ring Rpnq=GF(ℓ)[x]/(xpnq−1), where p,q,ℓ are distinct odd primes, ℓ is a primitive root modulo pn and q both, , are obtained. The dimension, generating polynomials and the minimum distance of the minimal cyclic codes of length pnq over GF(ℓ) are also discussed.
  • Keywords
    Primitive idempotents , primitive roots , Minimal cyclic codes and cyclotomic cosets
  • Journal title
    Finite Fields and Their Applications
  • Serial Year
    2003
  • Journal title
    Finite Fields and Their Applications
  • Record number

    701106

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=701106