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

Barry, Paul and Fitzpatrick, Patrick (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 alter-native 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
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:04
Last Modified:	02 Feb 2023 00:01
URI:	http://repository-testing.wit.ie/id/eprint/3879

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