Results 11 to 20 of about 25,553 (228)

On some classes of BCH-algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras.
Muhammad Anwar Chaudhry   +1 more
doaj   +9 more sources

ON CLOSED BCH-ALGEBRA WITH RESPECT TO AN ELEMENT OF A BCH-ALGEBRA

open access: yesJournal of Kufa for Mathematics and Computer, 2011
   In this paper, we define the concepts of a closed ideal with respect to an element of a BCH-algebra and a closed BCH-algebra with respect to an element of BCH-algebra .
Hussein Hadi Abbass
doaj   +3 more sources

Pseudo-BCH Semilattices [PDF]

open access: yesBulletin 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.
Walendziak, Andrzej
core   +7 more sources

On spectra of BCH codes [PDF]

open access: yesEighteenth Convention of Electrical and Electronics Engineers in Israel, 1995
Derives an estimate for the error term in the binomial approximation of spectra of BCH codes. This estimate asymptotically improves on the bounds by Sidelnikov (1971), Kasami et al. (1985), and Sole (1990)
Krasikov, I   +3 more
core   +3 more sources

BCH convolutional codes [PDF]

open access: yesIEEE Transactions on Information Theory, 1997
Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional ...
Eric V. York   +3 more
core   +5 more sources

Tri-Endomorphisms on BCH-Algebras [PDF]

open access: yesInternational 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
doaj   +2 more sources

Some categorical aspects of BCH-algebras [PDF]

open access: yesInternational 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
doaj   +2 more sources

Radical approach in BCH-algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We define the notion of radical in BCH-algebra and investigate the structure of [X;k], a viewpoint of radical in BCH-algebras.
Eun Hwan Roh
doaj   +2 more sources

On the distance distribution of duals of BCH codes [PDF]

open access: yes, 1999
We derive upper bounds on the components of the distance distribution of duals of BCH codes. Roughly speaking, these bounds show that the distance distribution can be upper-bounded by the corresponding normal distribution. To derive the bounds we use the
Krasikov, I, I. Krasikov, S. Litsyn
core   +2 more sources

Analysis of Blind Reconstruction of BCH Codes

open access: yesEntropy, 2020
In this paper, the theoretical lower-bound on the success probability of blind reconstruction of Bose–Chaudhuri–Hocquenghem (BCH) codes is derived. In particular, the blind reconstruction method of BCH codes based on the consecutive roots of generator ...
Soonhee Kwon, Dong-Joon Shin
doaj   +1 more source

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