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Computation of the weight distribution of CRC codes


Manganiello, F (2008). Computation of the weight distribution of CRC codes. Applicable Algebra in Engineering, Communication and Computing, 19(4):349-363.

Abstract

In this article, we illustrate an algorithm for the computation of the weight distribution of CRC codes. The recursive structure of CRC codes will give us an iterative way to compute the weight distribution of their dual codes starting from some “representative” words. Thanks to MacWilliams’ Theorem, the computation of the weight distribution of the dual codes can be easily brought back to that of CRC codes.

Abstract

In this article, we illustrate an algorithm for the computation of the weight distribution of CRC codes. The recursive structure of CRC codes will give us an iterative way to compute the weight distribution of their dual codes starting from some “representative” words. Thanks to MacWilliams’ Theorem, the computation of the weight distribution of the dual codes can be easily brought back to that of CRC codes.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Physical Sciences > Applied Mathematics
Language:English
Date:August 2008
Deposited On:21 Jan 2009 12:13
Last Modified:23 Jan 2022 12:48
Publisher:Springer
ISSN:0938-1279
Additional Information:The original publication is available at www.springerlink.com
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s00200-008-0078-9
Related URLs:http://arxiv.org/abs/cs/0607068
http://www.ams.org/mathscinet-getitem?mr=2429530
  • Content: Accepted Version
  • Content: Published Version
  • Language: English
  • Description: Nationallizenz 142-005