The q-ary antiprimitive bch codes

Author: bnbx

August undefined, 2024

Webb28 sep. 2024 · The 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 … 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.

BCH code - Wikipedia

Webb1 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 Webb28 sep. 2024 · The q-ary antiprimitive BCH codes Optimal bounds on codes for location in circulant graphs. Ville Junnila, et al. Some binary BCH codes with length n=2^m+1. … gyms near johns hopkins

Some results on BCH codes of length $ \frac{{{q^m} + 1}}{2}

Webb19 nov. 2024 · In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of thistalk is to study BCH codes of this type over finite fields and analyse their parameters.... Webb4 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 ... Webb28 sep. 2024 · The 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 … gyms near lisbon

The q-ary antiprimitive bch codes

Two families of negacyclic BCH codes DeepAI

WebbThe objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters, finding good parameters in general and containing many optimal linear … 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.

Did you know?

WebbBose-Chaudhuri-Hocquenghem (BCH) codes have been widely employed in satellite communications, compact disc players, DVDs, disk drives, solid-state drives, two … WebbProf.Minjia Shi：The q-ary antiprimitive BCH codes. 2024-11-24 09:18. Time: 16:00 November 22, 2024. Place: Room 216, Shiing-Shen Building & Tencent Conference …

Webb30 nov. 2024 · The 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 … WebbBCH codes are called narrow-sense when b = 1, and are called primitive when n = 2 r − 1 for some r ≥ 2. The code dimension is related to the multiplicative order of 2 modulo n, i.e., …

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... WebbThe q-Ary Antiprimitive BCH Codes - IEEE Xplore · It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH 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 ...

Webb30 mars 2024 · The q-Ary Antiprimitive BCH Codes. IEEE Trans. Inf. Theory 68 (3): 1683-1695 (2024) [c1] view. electronic edition via DOI; unpaywalled version; ... BCH codes over … gyms near litchfield nhWebb19 dec. 2024 · Dimensions of nonbinary antiprimitive BCH codes and some conjectures. Bose-Chaudhuri-Hocquenghem (BCH) codes have been intensively investigated. Even so, there is only a little known about primitive BCH codes, let alone non-primitive ones. In this paper, let be a prime power, the dimension of a family of non-primitive BCH codes of … gyms near lincoln park njGiven a prime number q and prime power q with positive integers m and d such that d ≤ q − 1, a primitive narrow-sense BCH code over the finite field (or Galois field) GF(q) with code length n = q − 1 and distance at least d is constructed by the following method. Let α be a primitive element of GF(q ). For any positive integer i, let mi(x) be the minimal polynomial with coefficients in GF(q) of α . The generator polynomial of the BCH code is defined as the least … bpl1414Webb28 sep. 2024 · The -ary antiprimitive BCH codes Hongwei Zhu, Minjia Shi, Xiaoqiang Wang, Tor Helleseth It is well-known that cyclic codes have efficient encoding and decoding … gyms near lincoln center nycWebb19 nov. 2024 · 报告题目：The q-ary antiprimitive BCH codes. 报告人：施敏加（安徽大学）报告时间：2024年11月24日下午16:30-17:30. 摘要：It is well-known that cyclic codes … bpl1420WebbThe 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 … bpl13http://en.cim.nankai.edu.cn/info/1257/2324.htm gyms near lexington ave in eagan mn