Self orthogonal
WebSep 3, 2024 · Abstract: In this paper, two criterions of MDS Euclidean self-orthogonal codes are presented. New MDS Euclidean self-dual codes and self-orthogonal codes are … WebSelf-orthogonal codes have been an interesting subject in the research of error-correcting codes. Some finite groups like the Mathieu groups appear as the group of some self-orthogonal code. Also many 5-designs were found in self-orthogonal codes [ 1 ].
Self orthogonal
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WebSelf-orthogonal codes are an interesting type of linear codes due to their wide applications in communication and cryptography. It is known that self-orthogonal Constructions of … WebMar 1, 2024 · In this section, we show that a self-orthogonal τ-tilting module of finite projective dimension is a tilting module. In addition, we give an example to show that a …
WebNov 24, 2024 · Published 24 November 2024. Computer Science. Kim et al. (2024) gave a method to embed a given binary [ 𝑛, 𝑘 ] code C ( 𝑘 = 3 , 4 ) into a self-orthogonal code of the … WebNov 19, 2024 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press …
WebSep 3, 2024 · Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication by Yansheng Wu 1,2 and Yoonjin Lee 2,* 1 School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China 2 Department of Mathematics, Ewha Womans University, Seoul 03760, Korea * WebFeb 1, 2024 · Employing our construction method, we obtain at least 125 new self-orthogonal codes over Z 4 up to equivalence; among them, there are 35 self-orthogonal codes which are distance-optimal. Furthermore, we have eight self-orthogonal codes, which are distance-optimal among all linear codes over Z 4 with the same type.
WebIn mathematics, orthogonality is the generalization of the geometric notion of perpendicularity . By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in other fields including art and chemistry. Etymology [ edit]
WebAug 14, 2024 · Symplectic self-orthogonal codes over finite fields are an important class of linear codes in coding theory, which can be used to construct quantum codes. In this paper, characterizations of symplectic self-orthogonal codes over finite fields F_ {q} are given. how to search messengerWebOct 31, 2024 · Abstract. In this paper, we establish a mass formula for Euclidean and Hermitian self-orthogonal codes over the finite ring Fq + uFq, where Fq is the finite field of order q and u2 = 0. We also ... how to search messenger chatWebMay 14, 2024 · Self-orthogonal codes are an interesting type of linear codes due to their wide applications in communication and cryptography. It is known that self-orthogonal … how to search microsoft teams filesWebThe self-healing can be triggered by crack propagation through the microcapsules, which then releases the healing agent to repair the microcracks in the matrix. ... The orthogonal … how to search mls listingWebMay 6, 2009 · We construct new binary and ternary self-orthogonal linear codes. In order to do this we use an equivalence between the existence of a self-orthogonal linear code with … how to search military recordsWebDec 20, 2024 · If C \leqslant C^ {\perp _h} then we say the linear code C is Hermitian self-orthogonal. Theorem 1 is our motivation to study Hermitian self-orthogonal codes. We … how to search microsoft outlook inboxWebJan 1, 2024 · Self-orthogonal and self-dual codes constitute the two most important and well-studied classes of linear codes having rich algebraic structures. These two classes of linear codes have nice connections with the theory of modular forms and unimodular lattices [2], [5], [10], [12], [30]and the theory of designs [1], [17]. how to search military records for free