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- Britz, Thomas, et al.
(författare)
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Demi-matroids from codes over finite Frobenius rings
- 2015
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Ingår i: Designs, Codes and Cryptography. - : Springer Science and Business Media LLC. - 0925-1022 .- 1573-7586. ; 75:1, s. 97-107
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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- Freij-Hollanti, Ragnar, et al.
(författare)
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Matroid Theory via Examples
- 2016
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Ingår i: International Zurich Seminar on Communications - Proceedings. ; , s. 45-49
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Konferensbidrag (refereegranskat)
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