On a one-parameter family of Riordan arrays and the weight distribution of MDS codes

Barry, Paul and Fitzpatrick, Pat (2007) On a one-parameter family of Riordan arrays and the weight distribution of MDS codes. Journal of Integer Sequences, 10 (9). ISSN 1530-7638

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Abstract

We use the formalism of the Riordan group to study a one-parameter family of lower-triangular matrices related to the weight distribution of maximum distance separable codes. We obtain factorization results for these matrices. We then derive alternative expressions for the weight distribution of MDS codes. We define related weight ratios and show that they satisfy a certain linear recurrence.

Item Type: Article
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 21 Nov 2007 16:38
Last Modified: 22 Aug 2016 10:25
URI: http://repository.wit.ie/id/eprint/888

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