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pro vyhledávání: '"Jurrius, R.P.M.J."'
Algebraic geometry codes have recently been the subject of a great deal of research. This area finds important applications in electronic engineering and computer science as well being of interest to mathematicians. Ruud Pellikaan has written a book
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a573fe52f7a9dff1371d5449adbde8b
https://doi.org/10.1017/9780511982170
https://doi.org/10.1017/9780511982170
Autor:
Jurrius, R.P.M.J., Pellikaan, G.R.
Publikováno v:
AMS Special Session on Hyperplane Arrangements and Applications 2014 (Part of Joint Mathematics Meetings, Baltimore MD, USA, January 15-18, 2014)
Many research in coding theory is focussed on linear error-correcting codes. Since these codes are subspaces, linear algebra plays a prominent role in studying them. An important polynomial invariant of linear error-correcting codes is the (extended)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::49de660e13f4bed4129f71dfe790ad40
https://research.tue.nl/nl/publications/3502171a-882a-4053-8aea-1fabb89d0187
https://research.tue.nl/nl/publications/3502171a-882a-4053-8aea-1fabb89d0187
Publikováno v:
Computer Algebra in Coding Theory and Cryptography (Special Session at 20th Conference on Applications of Computer Algebra, ACA 2014, New York NY, USA, July 9-12, 2014), 1-5
STARTPAGE=1;ENDPAGE=5;TITLE=Computer Algebra in Coding Theory and Cryptography (Special Session at 20th Conference on Applications of Computer Algebra, ACA 2014, New York NY, USA, July 9-12, 2014)
STARTPAGE=1;ENDPAGE=5;TITLE=Computer Algebra in Coding Theory and Cryptography (Special Session at 20th Conference on Applications of Computer Algebra, ACA 2014, New York NY, USA, July 9-12, 2014)
This paper investigates the rank weight enumerator of a code over L, where L is a finite extension of a field K. This is a generalization of the case where K = F_q and L = F_{q^m} of Gabidulin codes to arbitrary characteristic. We use the notion of c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::4997f19de9626086006b48ce6f9ce989
https://research.tue.nl/nl/publications/0f5d00c5-79c9-4557-bbd8-c685e807dd31
https://research.tue.nl/nl/publications/0f5d00c5-79c9-4557-bbd8-c685e807dd31
Publikováno v:
Algebraic geometry modeling in information theory, 219-325
STARTPAGE=219;ENDPAGE=325;TITLE=Algebraic geometry modeling in information theory
STARTPAGE=219;ENDPAGE=325;TITLE=Algebraic geometry modeling in information theory
This chapter treats error-correcting codes and their weight enumerator as the center of several closely related topics such as arrangements of hyperplanes, graph theory, matroids, posets and geometric lattices and their characteristic, chromatic, Tut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0d0b42a046d0c141462d764932e5bdf
https://research.tue.nl/nl/publications/8e6e6d56-5eba-4479-9741-d9027c8259db
https://research.tue.nl/nl/publications/8e6e6d56-5eba-4479-9741-d9027c8259db
Autor:
Jurrius, R.P.M.J.
Publikováno v:
Nieuw Archief voor Wiskunde, 5/14, 146-147
Geen samenvatting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::7f2b39f662f3a7cea62b6630e30b15f3
https://research.tue.nl/nl/publications/7d9823e3-6a1e-4984-a536-c52b39eb9ba4
https://research.tue.nl/nl/publications/7d9823e3-6a1e-4984-a536-c52b39eb9ba4
Autor:
Jurrius, R.P.M.J.
Codes, arrangements, matroids, and their polynomial links Many mathematical objects are closely related to each other. While studying certain aspects of a mathematical object, one tries to find a way to "view" the object in a way that is most suitabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::d45c4c10de9c3da8ca774805e4eff60a
https://research.tue.nl/nl/publications/549f2ecf-722a-4430-86db-3663c36b0de0
https://research.tue.nl/nl/publications/549f2ecf-722a-4430-86db-3663c36b0de0
Autor:
Jurrius, R.P.M.J., Pellikaan, G.R.
Publikováno v:
International Workshop on Coding and Cryptography (WCC 2009, Ullensvang, Norway, May 10-15, 2009. Proceedings), 76-91
STARTPAGE=76;ENDPAGE=91;TITLE=International Workshop on Coding and Cryptography (WCC 2009, Ullensvang, Norway, May 10-15, 2009. Proceedings)
STARTPAGE=76;ENDPAGE=91;TITLE=International Workshop on Coding and Cryptography (WCC 2009, Ullensvang, Norway, May 10-15, 2009. Proceedings)
This paper gives a survey on extended and generalized weight enumerators of a linear code and the Tutte polynomial of the matroid of the code [16]. Furthermore ongoing research is reported on the coset leader and list weight enumerator and its extens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::1d07b75f11bd17f8f4fea0ef02388bd9
https://research.tue.nl/nl/publications/4ca6594f-6899-4f35-8e93-5b94c93b4b45
https://research.tue.nl/nl/publications/4ca6594f-6899-4f35-8e93-5b94c93b4b45
Publikováno v:
Proceedings 30th Symposium on Information Theory on the Benelux (Eindhoven, The Netherlands, May 28-29, 2009), 217-224
STARTPAGE=217;ENDPAGE=224;TITLE=Proceedings 30th Symposium on Information Theory on the Benelux (Eindhoven, The Netherlands, May 28-29, 2009)
STARTPAGE=217;ENDPAGE=224;TITLE=Proceedings 30th Symposium on Information Theory on the Benelux (Eindhoven, The Netherlands, May 28-29, 2009)
This paper is a report on the ongoing research concerning the extended coset leader weight enumerator using the theory of arrangements of hyperplanes, geo- metric lattices and characteristic polynomials.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::1abccc0633f1d5602dd5928eea5a87cc
https://research.tue.nl/nl/publications/7e8fc986-565a-4d04-bae4-af9cbe3003b9
https://research.tue.nl/nl/publications/7e8fc986-565a-4d04-bae4-af9cbe3003b9
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Publikováno v:
Designs, Codes & Cryptography; Sep2022, Vol. 90 Issue 9, p2223-2247, 25p
