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

Paul Barry, Patrick Fitzpatrick

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article number07.9.8
JournalJournal of Integer Sequences
Volume10
Issue number9
Publication statusPublished - 20 Nov 2007

Fingerprint

Dive into the research topics of 'On a one-parameter family of Riordan arrays and the weight distribution of MDS codes'. Together they form a unique fingerprint.

Cite this