Geodesic
On a one-parameter family of Riordan arrays and the weight distribution of MDS codes
Journal of integer sequences, Tome 10 (2007) no. 9.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11B83, 94B05, 11B37, 11B65 
@article{JIS_2007__10_9_a6,
     author = {Barry, Paul and Fitzpatrick, Patrick},
     title = {On a one-parameter family of {Riordan} arrays and the weight distribution of {MDS} codes},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {10},
     number = {9},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a6/}
}
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Barry, Paul; Fitzpatrick, Patrick. On a one-parameter family of Riordan arrays and the weight distribution of MDS codes. Journal of integer sequences, Tome 10 (2007) no. 9. http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a6/