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

Autor: Barry, Paul, Fitzpatrick, Pat
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Popis: 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.
Databáze: OpenAIRE