Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Marcelo Muniz S. Alves"'
Autor:
Joost Vercruysse, Felipe Nalon Castro, Marcelo Muniz S. Alves, Glauber Quadros, Eliezer Batista
Publikováno v:
Journal of algebra, 577
We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C and the closely related concept of a partial H-comodule. We prove that there exists a universal coalgebra Hpar, associated to the original Hopf algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0721d71aa1bbcb8ebb4b7cef1cc9a1a3
https://doi.org/10.1016/j.jalgebra.2021.03.001
https://doi.org/10.1016/j.jalgebra.2021.03.001
In this paper we consider self-dual NRT codes, that is, self-dual codes in the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman metric (NRT metric) and their shape enumerators as defined by Barg and Park. We use polynomial invariant the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2c44f4478111d16635a126874d1b8e8
http://arxiv.org/abs/1904.04333
http://arxiv.org/abs/1904.04333
Publikováno v:
Journal of the London Mathematical Society, 100 (1
We introduce the notion of a dilation for a partial representation (that is, a partial module) of a Hopf algebra, which in case the partial representation origins from a partial action (that is, a partial module algebra) coincides with the enveloping
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba657d4dd74b87ed5094d47f69cefd9b
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/283804
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/283804
Publikováno v:
Advances in Mathematics of Communications.
We consider on \begin{document}$ \mathbb{F}_{q}^{n} $\end{document} metrics determined by posets and classify the parameters of \begin{document}$ 1 $\end{document} -perfect poset codes in such metrics. We show that a code with same parameters of a \b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eda8f28ee357692cead33e6255bb52e9
https://doi.org/10.3934/amc.2020061
https://doi.org/10.3934/amc.2020061
This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Bru
Publikováno v:
Linear Algebra and its Applications. 488:302-319
New properties of q-ary cyclotomic cosets modulo n = q m − 1 , where q ≥ 3 is a prime power, are investigated in this paper. Based on these properties, the dimension as well as bounds for the designed distance of some families of classical cyclic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53bd77ab64a799b0fa80dffe89d59548
https://doi.org/10.1016/j.laa.2015.09.034
https://doi.org/10.1016/j.laa.2015.09.034
Publikováno v:
Poset Codes: Partial Orders, Metrics and Coding Theory ISBN: 9783319938202
In this chapter we present different generalizations and variations of the poset metrics. The approach adopted here is very concise. For each of these generalizations we introduce the proper definitions and only explain the concepts needed to underst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::481392485c54eff986880f3bdc41867f
https://doi.org/10.1007/978-3-319-93821-9_7
https://doi.org/10.1007/978-3-319-93821-9_7
Publikováno v:
Poset Codes: Partial Orders, Metrics and Coding Theory ISBN: 9783319938202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::466e8832e4600c27b516c90ae20b0746
https://doi.org/10.1007/978-3-319-93821-9_5
https://doi.org/10.1007/978-3-319-93821-9_5
Publikováno v:
Poset Codes: Partial Orders, Metrics and Coding Theory ISBN: 9783319938202
We briefly introduce some very basic facts about the theory of error correcting codes or coding theory. To be more precise, we introduce those basic facts that are related to or dependent on the concept of metric. Many hypothesis are presented in a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ca6c0d7a39edd53c7eb36c40cbb3f7c
https://doi.org/10.1007/978-3-319-93821-9_1
https://doi.org/10.1007/978-3-319-93821-9_1
Publikováno v:
Poset Codes: Partial Orders, Metrics and Coding Theory ISBN: 9783319938202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea6bf0ede5a48850d7d02cbc739bd2b5
https://doi.org/10.1007/978-3-319-93821-9_3
https://doi.org/10.1007/978-3-319-93821-9_3