Self orthogonal
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 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 … 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 …
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 … 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 ...
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 … WebA diagonal Latin square is a Latin square whose main diagonal and back diagonal are both transversals. A Latin square is self-orthogonal if it is orthogonal to its transpose. A diagonal Latin square L of order n is strongly symmetric, denoted by SSSODLS(...
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 * 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 …
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 ...
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 … b\u0027nai torah boca ratonWebSep 3, 2024 · New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via the criterions. In particular, among our constructions, for large square q, about 1/8·q new MDS Euclidean (almost) self-dual codes over F q can be produced. Moreover, we can construct about 1/4· q new MDS Euclidean self-orthogonal codes with … b\u0027sWebMay 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 … b\u0027s 2ndWebSep 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 ... b\\u0027nai tzedek potomacWebThe 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 … b\u0027nai torah boca raton flWebOrthogonal 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 ... b\u0027nai tzedek potomac mdWebAug 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 … b\\u0027s american pride tavern