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Demi-matroids from codes over finite Frobenius rings
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2015 (English)In: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 75, no 1, 97-107 p.Article in journal (Refereed) Published
Abstract [en]

We present a construction of demi-matroids, a generalization of matroids, from linear codes over finite Frobenius rings, as well as a Greene-type identity for rank generating functions of demi-matroids. We also prove a MacWilliams-type identity for Hamming support enumerators of linear codes over finite Frobenius rings. As a special case, these results give a combinatorial proof of the MacWilliams identity for Hamming weight enumerators of linear codes over finite Frobenius rings.

Place, publisher, year, edition, pages
2015. Vol. 75, no 1, 97-107 p.
Keyword [en]
Codes over rings, Demi-matroid, MacWilliams identity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163951DOI: 10.1007/s10623-013-9895-3ISI: 000351158100008Scopus ID: 2-s2.0-84925290595OAI: oai:DiVA.org:kth-163951DiVA: diva2:810210
Note

QC 20150506

Available from: 2015-05-06 Created: 2015-04-13 Last updated: 2017-12-04Bibliographically approved

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