2024 Strict half singleton bound

Strict half singleton bound

Author: cvwc

August undefined, 2024

WebAug 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. WebThis work considers the deletion correcting property of generalized Reed-Solomon codes and describes a class of generalizedreed-solomon codes which correct one deletion and identifies other codes that can correct numerous deletion errors. Deletion correction codes have numerous applications including transmission synchronisation and more recently, …

Strict Half-Singleton Bound, Strict Direct Upper Bound for …

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. ∙ WebJul 12, 2024 · They also posed the problem of constructing linear codes that get close to the half-Singleton bound (proved in [CGHL21]) over small fields. Thus, our results significantly improve their construction and get much closer to the bound. 87世代競馬

Codes correcting position errors in racetrack memories - Semantic …

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... WebJun 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 … http://www.nim.nankai.edu.cn/2024/1118/c6604a495866/page.htm 87串联

Hao Chen

WebWe also give optimal linear insdel codes attaining our strict half-Singleton bound and direct upper bound, and show that the code length of optimal binary linear insdel codes with respect to the (strict) half-Singleton bound is about twice the dimension. 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... 87二进制数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 87云彩店

"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 ... " - Strict half singleton bound

Strict half singleton bound

Improved Singleton Bound on Insertion-Deletion Codes …

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. ∙ 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 ...

Did you know?

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 … WebApr 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.

Webimprovements to the Singleton bound are possible. We turn to such bounds next. 2 The Plotkin bound The Gilbert-Varshamov bound asserts the existence of positive rate binary … 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 …

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... WebMay 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...

WebJun 1, 2024 · 06/01/22 - Insertion-deletion codes (insdel codes for short) are used for correcting synchronization errors in communications, and in other m...

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; 87事件真实始末装甲车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 … 87主板WebFeb 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... 87五笔输入法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 … 87云 87仙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... 87仔WebJun 1, 2024 · Synchronization strings: codes for insertions and deletions approaching the Singleton bound. B. Haeupler, A. Shahrasbi, Synchronization strings: codes for insertions … 87交易