• DocumentCode
    2469999
  • Title

    Constacyclic codes and cocycles

  • Author

    Hughes, Garry

  • Author_Institution
    Dept. of Math., RMIT, Melbourne, Vic., Australia
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    233
  • Abstract
    Constacyclic codes may naturally be viewed as objects arising from the cohomological concept of a cocycle. Cohomology theory suggests a transformation which is used to show, under certain circumstances, a cyclic code of length mn over a ring R is isomorphic to the direct sum of m constacyclic codes of length n. In particular this isomorphism holds in many local rings (for example Galois rings) and also in the modular ring Zr
  • Keywords
    algebraic codes; cyclic codes; group codes; Galois rings; algebraic coding; cocycles; cocyclic group ring codes; cohomological concept; cohomology theory; constacyclic codes; cyclic code; isomorphism; local rings; modular ring; Algebra; Australia; Mathematics; Modules (abstract algebra); Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.708837
  • Filename
    708837
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2469999