Results 21 to 30 of about 1,348 (148)
Construction and Decoding of BCH-Codes Over the Gaussian Field
IEEE Access, 2023 In this article, first we deliberate the theory of the Gaussian field and extension field of the Gaussian field. Secondly, we provide a comprehensive construction scheme for BCH codes over the Gaussian field.
Muhammad Sajjad +3 more
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Generalizations of the BCH bound
Information and Control, 1972 Cyclic codes generated by polynomials having multiple sets of do — 1 roots in consecutive powers of a nonzero field element are considered and some generalizations of the BCH bound are presented. In particular, it is shown, among other results, that if g(x) GF(q)[x[ is the generator polynomial of a cyclic code Vn of length n such that g(βl+i1c1+i2c2 ...
Carlos R. P. Hartmann, Kenneth K. Tzeng
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Engineering Reports, 2021 The interior search algorithm (ISA) is an optimization algorithm inspired by esthetic techniques used for interior design and decoration. The algorithm has only one parameter, controlled by θ, and uses an evolutionary boundary constraint handling (BCH ...
Ali R. Kashani +3 more
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Some categorical aspects of BCH-algebras
International Journal of Mathematics and Mathematical Sciences, 2003 We show that the category BCH of BCH-algebras and BCH-homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one-
Muhammad Anwar Chaudhry +1 more
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Electronic Notes in Discrete Mathematics, 2003 Abstract Kageyama et. al. (1997, 1999), have shown that the incidence matrices of balanced incomplete block designs or 2 - associate partially balanced incomplete block designs or ( r , λ)-designs can be used to construct error correcting codes. In this paper, we will construct some symmetric balanced incomplete block (BIB) designs, group divisible ...
M. L. Agarwal, Seema Gupta
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Generalized Low-Density Parity-Check Coding Scheme with Partial-Band Jamming
Tsinghua Science and Technology, 2014 In this study, a class of Generalized Low-Density Parity-Check (GLDPC) codes is designed for data transmission over a Partial-Band Jamming (PBJ) environment.
Qi Li, Xinru Qu, Liuguo Yin, Jianhua Lu
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Tri-Endomorphisms on BCH-Algebras
International Journal of Analysis and Applications, 2023 In this paper, we use the concept of endomorphisms and bi-endomorphisms as a model to create tri-endomorphisms on of BCH-algebras. We introduce the concepts of left tri-endomorphisms, central tri-endomorphisms, right tri-endomorphisms, and complete tri ...
Patchara Muangkarn +3 more
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Bulletin of the Section of Logic, 2018 In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, respectively. We prove that the class of all pseudo-BCH join-semilattices is a variety and show that it is weakly regular, arithmetical at
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Frontiers in Oncology, 2021 BackgroundThe study assessed the possibility of dividing patients into groups based on the assessment of morphological changes in the epithelium of small-caliber bronchi located near the primary tumor in order to predict high and low risks of distant ...
Olga V. Pankova +13 more
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Sequences of Primitive and Non-primitive BCH Codes
Trends in Computational and Applied Mathematics, 2018 In this work, we introduce a method by which it is established that; how a sequence of non-primitive BCH codes can be obtained by a given primitive BCH code.
A. S. Ansari +3 more
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