Self orthogonal
WebJan 22, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebSep 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 …
Self orthogonal
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WebJan 1, 2006 · In this paper, we complete the classification of optimal binary linear self-orthogonal codes up to length 25. Optimal self-orthogonal codes are also classified for parameters up to length 40... 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
In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity to the linear algebra of bilinear forms . Two elements u and v of a vector space with bilinear form B are orthogonal when B(u, v) = 0. Depending on the bilinear form, the vector space may contain nonzero self … See more In 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 … See more The word comes from the Ancient Greek ὀρθός (orthós), meaning "upright", and γωνία (gōnía), meaning "angle". The Ancient Greek See more In art, the perspective (imaginary) lines pointing to the vanishing point are referred to as "orthogonal lines". The term "orthogonal line" … See more In telecommunications, multiple access schemes are orthogonal when an ideal receiver can completely reject arbitrarily strong unwanted signals from the desired signal using different basis functions. One such scheme is time-division multiple access (TDMA), … See more • In optics, polarization states are said to be orthogonal when they propagate independently of each other, as in vertical and horizontal linear polarization or right- and left-handed See more Orthogonality in programming language design is the ability to use various language features in arbitrary combinations with consistent results. This usage was … See more When performing statistical analysis, independent variables that affect a particular dependent variable are said to be orthogonal if they are uncorrelated, since the covariance … See more 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 …
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]. WebNov 24, 2024 · among self-dual or self-orthogonal codes [16]. Boukllieve et al. [2] investigated opti- mal [ 𝑛, 𝑘 ] SO codes of lengths for 𝑛 ≤ 4 0 and 𝑘 ≤ 10 .
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 …
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 … cheap microsoft office ukWebJan 1, 2006 · PDF In this paper, we complete the classification of optimal binary linear self-orthogonal codes up to length 25. Optimal self-orthogonal codes are... Find, read and … cheap microsoft office software for studentsWebAug 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. cyber monday bike trainersWebApr 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 been intensively investigated in the past decade. Simple characterizations of these linear codes to be LCD or self-orthogonal are presented. cyber monday binocularsWebSep 16, 2014 · By self-orthogonal basis, I mean a basis B where = 0 for every distinct vectors u and v in B. The <.,.> is the standard scalar product, i.e. = u_1v_1 + ... + u_nv_n. Mathematics... cyber monday birkenstock sandals outletWebNov 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 … cyber monday black friday 2022cyber monday bissell