The q-ary antiprimitive bch codes
http://en.cim.nankai.edu.cn/info/1257/2324.htm WebbThis paper aims to study some of the codes within this class and specifically narrow-sense antiprimitive BCH codes (these codes are also linear complementary duals (LCD) codes that have interesting practical recent applications in cryptography, among other benefits).
The q-ary antiprimitive bch codes
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WebbBCH codes are among the best practical cyclic codes widely used in consumer electronics, communication systems, and storage devices. However, not much is known about BCH codes with large minimum di... WebbIn this paper, we will employ the defining set of the code C to present a general characterization when its hull has dimension k − ℓ. Furthermore, we mainly focus on the …
WebbMentioning: 10 - Artin-Schreier curves and codes - Geer, Gerard van der, Vlugt, Marcel van der Webb30 mars 2024 · BCH codes over GF (q) with length qm+1. CoRR abs/2106.11607 ( 2024) [i5] Hongwei Zhu, Minjia Shi, Xiaoqiang Wang, Tor Helleseth: The $q$-ary antiprimitive BCH codes. CoRR abs/2109.13803 ( 2024) 2024 [j13] abs/1910.05461 ( 2024) [i1] Dabin Zheng, Qing Zhao, Xiaoqiang Wang: Several classes of two-weight and three-weight linear codes.
WebbIt is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of … WebbIt is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of th
WebbDetermining the dimensions of BCH codes is a challenging problem in coding theory. In this paper, we study BCH codes of length q m + 1 2, for odd m and m ≡ 2 ( mod 4). The first few largest coset leaders of such BCH codes are obtained. On the basis of this, we determine their parameters and obtain a few optimal or almost optimal codes.
Webb学术范收录的Repository The $q$-ary antiprimitive BCH codes，目前已有全文资源，进入学术范阅读全文，查看参考文献与引证文献，参与 ... how can you prevent hiv/aidsWebbENCODING AND DECODING OF BCH CODES USING LIGHT AND SHORT CODEWORDS RON M. ROTH * AND GADIEL SEROUSSI ** ABSTRACT It is shown that everyq-ary primitive BCH code of designed distanceδ and sufficiently large length n contains a codewordc 0 of weightw = O(δ), and degree deg(c 0) = o(n).These so calledlight and short codewords are … how can you prevent getting an stiWebb1 jan. 2024 · Download Citation On Jan 1, 2024, Jiayuan Zhang and others published Some results on BCH codes of length $ \frac{{{q^m} + 1}}{2} Find, read and cite all the research you need on ResearchGate how can you prevent infection by tapewormsWebb21 aug. 2024 · 1 Answer. The q-ary Hamming code has n = q r − 1 q − 1 and k = q r − 1 q − 1 − r. The ambient space V ( n, q) has q n elements, and C = q k = q n − r. This implies … how can you prevent homelessnessWebbThe objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters. Some lower bounds on the minimum distance of antiprimitive BCH … how can you prevent hypertensionWebb4 juni 2024 · Academic literature on the topic 'BCH codes' Author: Grafiati. Published: 4 June 2024 Last updated: 5 February 2024 Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles. Select a source type: Book Website Journal article ... how many people visit walesWebb19 sep. 2024 · This paper aims to study some of the codes within this class and specifically narrow-sense antiprimitive BCH codes (these codes are also linear complementary duals (LCD) codes that have interesting practical recent applications in cryptography, among other benefits). how many people visit vietnam each year