site stats

Strict half singleton bound

WebStrict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Qinqin Ji, Dabin Zheng, Hao Chen, Xiaoqiang Wang Subjects: Information Theory (cs.IT) [3] arXiv:2206.00307 [ pdf, other] Federated Learning in … WebJan 9, 2024 · In this paper we propose a strict half-Singleton upper bound d I ( C) ≤ 2( n –2 k +1) if C does not contain the codeword with all 1s, which generalizes the half-Singleton …

[PDF] Improved Singleton Bound on Insertion-Deletion Codes and Optim…

WebJun 1, 2024 · In this paper, for a linear insdel code $\mathcal C$ we propose a strict half-Singleton upper bound $d_I(\mathcal C) \leq 2(n-2k+1)$ if $\mathcal C$ does not … WebStrict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes. Preprint. Jun 2024; Qinqin Ji; Dabin Zheng; Hao Chen; Xiaoqiang Wang; southside swimming pool rockhampton https://delasnueces.com

Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear ...

WebJan 1, 2024 · In this paper we propose a strict half-Singleton upper bound dI ( C ) ≤ 2 ( n –2 k +1) if C does not contain the codeword with all 1s, which generalizes the half-Singleton bound on... WebApr 10, 2024 · In this paper we propose a strict half-Singleton upper bound d_I (\C) ≤2 (n-2k+1)if C does not contain the codeword with all 1s, which generalizes the half-Singleton bound on the... WebMay 19, 2024 · The bound is presented both for binary and non-binary codes while an extension to single deletion and multiple substitutions is presented for binary codes. An explicit construction of single-deletion single-substitution correcting codes with at most 6 log n + 8 redundancy bits is derived. southside tattoo anchorage

数学学科Seminar第2358讲 线性插入删除码的的若干界和最优码的 …

Category:郑大彬 教授:Strict Half-Singleton Bound, Strict Direct Upper Bound …

Tags:Strict half singleton bound

Strict half singleton bound

Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear ...

WebIn coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound. proved by Joshi (1958) and even ... Webto our strict half-Singleton bound and provide some examples of optimal linear insdel codes. In section 5, we study optimal binary linear insdel codes and show that the code …

Strict half singleton bound

Did you know?

WebStrict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Insertion-deletion codes (insdel codes for short) are used for correctin... WebNov 13, 2024 · Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes. CoRR abs/2206.00287 ( 2024) 2024 [j25] Xiaoqiang Wang, Dabin Zheng, Yan Zhang: A class of subfield codes of linear codes and their duals. Cryptogr. Commun. 13 ( 1): 173-196 ( 2024) [j24] Xiaoqiang Wang, Dabin Zheng, Yan Zhang:

WebStrict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Insertion-deletion codes (insdel codes for short) are used for correctin... Qinqin Ji, et al. ∙ WebIn software engineering, the singleton pattern is a software design pattern that restricts the instantiation of a class to a singular instance. One of the well-known "Gang of Four" design patterns , which describe how to solve recurring problems in object-oriented software , [1] the pattern is useful when exactly one object is needed to ...

WebTitle: Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Authors: Qinqin Ji, Dabin Zheng, Hao Chen, Xiaoqiang Wang. Subjects: Information Theory (cs.IT) arXiv:2206.00307 [pdf, other] Title: Federated Learning in Satellite Constellations WebStrict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Insertion-deletion codes (insdel codes for short) are used for correctin... 0 Qinqin Ji, et al. ∙

WebMar 10, 2024 · Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Preprint Jun 2024 Qinqin Ji Dabin Zheng Hao Chen Xiaoqiang Wang View Show abstract...

WebIn coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block codeC{\displaystyle C}with block … teal blue nursing scrubsWebAug 27, 2024 · The half-Singleton upper bounds for linear subspace-metric and subset-metric codes are proved. Subspace distances and subset distances of codes are natural lower bounds for insdel distances of codes, and then can be used to lower bound the insertion-deletion error-correcting capabilities of codes. southside tavern goldthwaite texashttp://www.nim.nankai.edu.cn/2024/1118/c6604a495866/page.htm teal blue ornamentsWebJun 1, 2024 · The half-Singleton bound on the insdel distances of linear codes due to Cheng-Guruswami-Haeupler-Li is a basic upper bound on the insertion-deletion error-correcting … teal blue nike shortsWebFeb 2, 2024 · Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes Preprint Jun 2024 Qinqin Ji Dabin Zheng Hao Chen Xiaoqiang Wang View Show abstract... teal blue ottoman plouffWebMay 1, 2024 · When k = 2, if 1 / ∈ C, there are 17 optimal [5,2] linear codes with respect to the strict half-Singleton bound given in Theorem 3.1; If 1 ∈ C then there are 2 optimal [4, 2] linear codes with... teal blue north face jacketWebApr 18, 2024 · In this paper we prove several coordinate-ordering-free upper bounds on the insdel distances of linear codes. Our bounds are stronger than some previous known bounds. We apply these upper bounds to AGFC codes from some cyclic codes and one algebraic-geometric code with any rearrangement of coordinate positions. southside tattoo lansing mi