New lcd mds codes of non-reed-solomon type
Web2-s2.0-85098657798 Part of ISSN: 00224049 Contributors : Yoo, J.; Lee, Y. Show more detail Source : Yoonjin Lee via Scopus - Elsevier New LCD MDS codes of non-Reed-Solomon type arXiv 2024 Other EID: Web18 mei 2024 · Two constructions of new LCD MDS codes are detailed, using invertible matrices and the roots of three classes of polynomials, respectively, over a finite field with odd characteristic. 19 Construction of MDS Codes With Complementary Duals Lingfei Jin Computer Science IEEE Transactions on Information Theory 2024 TLDR
New lcd mds codes of non-reed-solomon type
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Web19 okt. 2024 · Linear complementary dual (abbreviated LCD) generalized Gabidulin codes (including Gabidulin codes) have been recently investigated by Shi and Liu et al. (Shi et al. IEICE Trans. Fundamentals E101-A (9):1599-1602, 2024, Liu et al. Journal of Applied Mathematics and Computing 61 (1): 281-295, 2024). WebIn this paper, we provide new constructions of LCD MDS codes from generalized twisted Reed–Solomon codes. …
WebMaximum distance separable (MDS) codes are optimal where the minimum distance cannot be improved for a given length and code size. Twisted Reed-Solomon codes over finite … Web28 mei 2024 · Near MDS (NMDS) codes were introduced in 1995 by weakening the definition of MDS codes. NMDS codes also have applications in secret sharing scheme. …
Web20 sep. 2024 · Maximum distance separable (MDS) codes are optimal because they attain the maximal achievable minimum distance d = n-k+1 (for a length n and a dimension k ), which allows the largest error-correcting capability for a given code rate. The most famous family of MDS codes is (extended) generalized Reed-Solomon (for short GRS and … Web28 mei 2024 · Near MDS (NMDS) codes were introduced in 1995 by weakening the definition of MDS codes. NMDS codes also have applications in secret sharing scheme. …
WebTo the best of our knowledge, this is the first paper on the construction of LCD MDS codes of non-Reed-Solomon type; any LCD MDS code of non-Reed-Solomon type …
WebNew LCD MDS codes of non-Reed-Solomon type Y Wu, JY Hyun, Y Lee - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org Both linear complementary dual (LCD) codes and maximum distance separable (MDS) codes have good algebraic structures, and they have interesting practical applications such … 保存引用被引用次 … panic island jeu de sociétéWebNew Conferences; Events; Deadlines; search search. You are not signed in ; Sign in; Sign up; External Links. DOI; DBLP; Google; Google Scholar; MSAS; Cite Key. WuHL21-1; ... settons chirurgieWebNew LCD MDS codes of non-Reed-Solomon type Both linear complementary dual (LCD) codes and maximum distance separabl... 0 Yansheng Wu, et al. ∙. share ... sett parc expoWebare not monomially equivalent to Reed-Solomon codes, called LCD MDS codes of non-Reed-Solomon type. To the best of our knowledge, this is the first paper on the construction of LCD MDS codes of non-Reed-Solomon type. In the coding theory, it is an important issue to find all inequivalent codes of the same parameters. We point out that … set toner continue mfc-l2700Web19 jun. 2024 · Generalized Reed-Solomon (GRS) codes form a very important class of MDS codes. Due to the easy encoding and fast decoding for few burst errors, they are used in many communication system. The decoding performance of GRS codes is always a very important issue in the theoretical computer science. set to expire 意味set to portraitWebMaximum distance separable (MDS) self-dual codes have useful properties due to their optimality with respect to the Singleton bound and its self-duality. MDS self-dual codes are completely determined by the length n , so the problem of constructing q-ary MDS self-dual codes with various lengths is a very interesting topic. Recently X. Fang et al. using a … set torque wrench