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Self orthogonal

WebAug 14, 2024 · In this paper, characterizations of symplectic self-orthogonal codes over finite fields F_ {q} are given. A necessary and sufficient condition for determining … 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 *

Does a subspace of (GF(q))^n always have a self-orthogonal basis ...

WebThe idea of symmetry is a built-in feature of the metric function. In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular α-orbital admissible mapping in the context of orthogonal complete Branciari metric spaces endowed with a transitive binary relation. Our results generalize and extend some … WebAbstract: 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 codes are often used to construct quantum error-correcting codes, which can protect quantum information in quantum computations and quantum communications. forme fisiche https://envisage1.com

On some binary symplectic self-orthogonal codes SpringerLink

WebApr 6, 2024 · Self-orthogonal codes can be used to construct quantum codes. In this paper, four classes of binary linear codes are constructed via a generic construction which has … 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] 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 … form e financial requirements checklist

Extending binary linear codes to self-orthogonal codes - Semantic …

Category:Self Orthogonal Family (Differential Equations) - YouTube

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Self orthogonal

Constructions of Self-Orthogonal Codes From Hulls of BCH Codes …

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. WebJan 20, 2024 · Title:Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances Authors:Minjia Shi, Shitao Li, Tor Helleseth, Jon-Lark Kim Download a PDF of the paper titled Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances, by Minjia Shi and 3 other authors Download PDF

Self orthogonal

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WebJan 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]. WebOct 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 ...

Webn2 - n3 # 2, 6 implies the existence of a self orthogonal Latin square of order n = an, + n3 (Horton [1970]). (7) If n is odd and if an Abelian group of order n having certain properties exists, then there is a self orthogonal Latin square of order n (Mullin and Nemeth [1970]). (8) There exists a self orthogonal Latin square of order 10 ...

WebSelf-orthogonal codes are an important type of linear codes due to their wide applications in communication and cryptography. The Euclidean (or Hermitian) hull of a linear code is … WebThe 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 experiments were adopted to investigate the influence of microcapsule content, mineral admixture type, mineral admixture content, and fiber type on the mechanical ...

WebThe 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 …

WebOct 28, 2004 · Abstract. The binary optimal self-orthogonal codes of dimension and length are classified. They are used for constructing self-dual codes of lengths 40, 42, and 44. All … form e financial statement in wordWebMay 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 … form e financial statement examplesWebNov 19, 2024 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press … forme fisicoWebOrthogonal takes a risk-appropriate strategy for pre-market testing and post-market testing and monitoring. We employ a layered testing approach that includes in-house automated testing on specific device profiles, online device farms, field-level self validation and monitoring using product analytics and crash or performance analytics. Our FDA ... forme flashWebDec 17, 2015 · I know how to calculate the orthogonal trajectory of a given family of curves. And it is said in my text book that if the orthogonal trajectory of a curve is itself, then we … forme fischerWebSelf-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 ]. forme flash reviewWebSelf-orthogonal codes are an important type of linear codes due to their wide applications in communication and cryptography. The Euclidean (or Hermitian) hull of a linear code is defined to be the intersection of the code and its Euclidean (or Hermitian) dual. It is clear that the hull is self-orthogonal. The main goal of this paper is to obtain self-orthogonal … form e financial statement word document