نتایج جستجو برای: cyclic codes

تعداد نتایج: 173811  

Journal: :CoRR 2015
Sukhamoy Pattanayak Abhay Kumar Singh

Cyclic codes over R have been introduced recently. In this paper, we study the cyclic codes over R and their Z2 image. Making use of algebraic structure, we find the some good Z2 codes of length 28.

Journal: :journal of sciences, islamic republic of iran 2015
f. bardestani a. iranmanesh

an algebraic construction for constant dimension subspace codes is called orbit code. it arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. in particular orbit codes of a singer subgroup of the general linear group has investigated recently. in this paper, we consider the normalizer of a singer subgroup of the general linear group a...

A. Iranmanesh F. Bardestani

An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group a...

2017
Kenza Guenda T. Aaron Gulliver

This paper studies the equivalence problem for cyclic codes of length p and quasi-cyclic codes of length pl. In particular, we generalize the results of Huffman, Job, and Pless (J. Combin. Theory. A, 62, 183–215, 1993), who considered the special case p. This is achieved by explicitly giving the permutations by which two cyclic codes of prime power length are equivalent. This allows us to obtai...

2015
Shu Lin Daniel J Costello

VLSI Architectures for Modern Error-Correcting Codes CRC Press Book. Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary. An important class of multipleerror-correcting linear cyclic codes is the class of BCH codes. In fact, BCH code is a generalization of the cyclic Hamming codes. Error correction codes (ECCs) are deployed in digital communication systems to tion 4 recalls...

Journal: :CoRR 2016
Shuxing Li Cunsheng Ding Maosheng Xiong Gennian Ge

Cyclic codes over finite fields are widely employed in communication systems, storage devices and consumer electronics, as they have efficient encoding and decoding algorithms. BCH codes, as a special subclass of cyclic codes, are in most cases among the best cyclic codes. A subclass of good BCH codes are the narrow-sense BCH codes over GF(q) with length n = (qm−1)/(q−1). Little is known about ...

Journal: :CoRR 2016
Chengju Li Cunsheng Ding Hao Liu

BCH codes are widely employed in data storage, communications systems, and consumer electronics. A new application of LCD codes in cryptography was found recently. It is known that LCD codes are asymptotically good. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objective of this paper is to construct a class of LCD codes, which are also BCH codes. The dimen...

Journal: :CoRR 2017
Chengju Li

Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. It was proved that asymptotically good Hermitian LCD codes exist. The objective of this paper is to construct some cyclic Hermitian LCD codes over finite fields and analyse their parameters. The dimensions of these codes ar...

Journal: :IEEE Trans. Information Theory 1991
Guy Castagnoli James L. Massey Philipp A. Schoeller Niklaus von Seemann

A parity-check matrix for a q -ary repeated-root cyclic code is derived using the Hasse derivative. Then the min imum distance of a q-ary repeated-root cyclic code C is expressecin terms of the min imum distance of a certain simple-root cyclic code C that is determined by C. With the help of this result, several binary repeated-root cyclic codes of lengths up to n = 62 are shown to contain the ...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید