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Demi-matroids from ...
Demi-matroids from codes over finite Frobenius rings
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- Britz, Thomas (författare)
- University of New South Wales, UNSW, Sydney, Australia
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- Shiromoto, Keisuke (författare)
- Department of Mathematics and Engineering, Kumamoto University, Japan
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- Westerbäck, Thomas (författare)
- KTH,Matematik (Inst.),Department of Mathematics, KTH Royal Institute of Technology,MAM
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(creator_code:org_t)
- 2013-11-10
- 2015
- Engelska.
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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
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Nyckelord
- Codes over rings
- Demi-matroid
- MacWilliams identity
- Mathematics/Applied Mathematics
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