Strict half singleton bound

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August undefined, 2024

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 ... 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 ...

Coordinate-Ordering-Free Upper Bounds for Linear Insertion …

WebMay 5, 2024 · This paper proposes a strict half-Singleton upper bound dI (C) ≤ 2 (n−2k+1) if C does not contain the codeword with all 1s, and a stronger direct upper bound under a … WebJun 1, 2024 · Synchronization strings: codes for insertions and deletions approaching the Singleton bound. B. Haeupler, A. Shahrasbi, Synchronization strings: codes for insertions … bug bite holster discount code

Single-Deletion Single-Substitution Correcting Codes DeepAI

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. ∙ 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 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. crosby women\u0027s tops

Strict half singleton bound

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: 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...

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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 … 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. ∙

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 …

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... 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 …

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...

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. bugbite holster coupon codeWebStrict 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... crosby wooden ships lyricsWebThis 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, … crosby wright and morrisWebStrict 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; bug bite hard lump itchyWebApr 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... crosby woods solicitors hoveWebJun 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 … crosby xl saddleWebThis work continues the recent study and design codes which combat shift errors in racetrack memory, called position errors, and shows how to take advantage of this special feature of racetracks memories in order to construct codes correcting deletions and sticky insertions. Racetrack memory is a new technology which utilizes magnetic domains along … bug bite hot to the touch