MacWilliams Identity for m-spotty Hamming Weight Enumerator Over the Ring $\mathbb{F}_2+v\mathbb{F}_2$

Authors

  • Vedat ?iap
  • Mehmet Ozen

Keywords:

MacWilliams identity, Weight enumerator, M-spotty weight, Mspotty byte error

Abstract

The m-spotty byte error control codes can correct or detectmultiple spotty byte errors that are distributed in multiplebytes. These codes are successfully applied to computer memorysystems that use RAM chips with $b$-bit Input/Output data whenhigh-energy particles strike a particular RAM chips. In thispaper, we derive a MacWilliams type identity for m-spotty Hammingweight enumerator over the ring $\mathbb{F}_2+v\mathbb{F}_2$ with$v^2=v.$

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Published

2012-07-31

Issue

Vol. 5 No. 3: (July 2012)

Section

Coding Theory and Cryptology

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How to Cite

MacWilliams Identity for m-spotty Hamming Weight Enumerator Over the Ring $\mathbb{F}_2+v\mathbb{F}_2$. (2012). European Journal of Pure and Applied Mathematics, 5(3), 373-379. https://www.ejpam.com/index.php/ejpam/article/view/1352