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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 … WebDec 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 …

(PDF) Self-Orthogonal Codes Constructed From Posets and Their ...

WebDec 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 … WebA criterion of MDS Euclidean self-orthogonal codes is presented in the following lemmas, which can be regarded as generalizations of Corollary 2.4 in [9] and Lemma 2 in [17], and be applied to construct new MDS Euclidean self-orthogonal codes. Lemma 2.2. Assume 1 ≤ k ≤ ⌊n 2⌋. The code GRS k(→a ,→v ) is Euclidean self-orthogonal if and traditional indo western fusion dresses https://findyourhealthstyle.com

On Hulls of Some Primitive BCH Codes and Self-Orthogonal Codes

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 … WebSep 3, 2024 · In [25], self-orthogonal codes are constructed from partially ordered sets (posets). Analysing poset codes using our methods, we see that they have transversal level 2 logical operators with ... 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]. traditional inherited remainder ira

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Category:Binary self-orthogonal codes which meet the Griesmer bound or …

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Self orthogonal

Galois self-orthogonal constacyclic codes over finite fields

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 … 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 *

Self orthogonal

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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 ... 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 …

WebFeb 10, 2024 · What is self orthogonal curves? A family of curves is said to be self orthogonal if two curves of the family intersect, they intersect orthogonally. Thus the …

WebFeb 1, 2024 · Self-orthogonal codes and self-dual codes over finite fields or finite rings are important classes of codes from a practical point of view as well as a theoretical point of … 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 …

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 …

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 ... traditional ingredients in italyWebFeb 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. traditional instruments from indonesiaWebSelf-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 … traditional ink paintingWebJan 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 the sanctuary fresnoWebNov 19, 2024 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press … traditional instrument in indiaWebMay 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 … traditional instruments from africaWebIn 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] traditional inns in japan