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樓主
發(fā)表于 2025-3-21 17:58:06 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Gr?bner Bases, Coding, and Cryptography
編輯Massimiliano Sala,Shojiro Sakata,Ludovic Perret
視頻videohttp://file.papertrans.cn/391/390679/390679.mp4
圖書封面Titlebook: ;
出版日期Book 2009
版次1
doihttps://doi.org/10.1007/978-3-540-93806-4
isbn_softcover978-3-642-10100-7
isbn_ebook978-3-540-93806-4
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:50:19 | 只看該作者
Serializing Fiction in the Victorian Presselian group . as a group of automorphisms, then . has the structure of a module over a polynomial ring??. This structure can be used to develop systematic encoding algorithms using Gr?bner bases for modules. We illustrate these observations with several examples including geometric Goppa codes and codes from order domains.
板凳
發(fā)表于 2025-3-22 02:16:58 | 只看該作者
https://doi.org/10.1007/978-3-658-29951-4d via the FGLM algorithm or a related algorithm (like the Buchberger–M?ller algorithm). In this tutorial we describe how this has been done in the literature from a historical point of view, starting from Fitzpatrick’s seminal 1995 paper, and covering recent developments for list decoding.
地板
發(fā)表于 2025-3-22 06:26:33 | 只看該作者
5#
發(fā)表于 2025-3-22 09:39:31 | 只看該作者
Scott Warren,Greg Jones,Lin Linwn as Polly Cracker systems. None of these proposals have been successful, and while Gr?bner Bases are now an established tool for cryptanalysis, the challenge of Boo Barkee still stands w.r.t. the design point of view. We outline a description of how all these attempts have failed.
6#
發(fā)表于 2025-3-22 16:16:44 | 只看該作者
A Tutorial on AG Code Construction from?a?Gr?bner Basis Perspectiveerminology chosen is that of the easily understood concepts of multivariate polynomial rings and ideals of relations among the variables, which is more useful computationally than the more standard algebraic geometry terminology.
7#
發(fā)表于 2025-3-22 17:33:24 | 只看該作者
8#
發(fā)表于 2025-3-22 22:18:32 | 只看該作者
9#
發(fā)表于 2025-3-23 03:14:14 | 只看該作者
Gr?bner Bases over Commutative Rings and Applications to Coding Theoryutative ring. For applications, we specialize to the case of a finite chain ring. We discuss and compare the main algorithms that may be implemented to compute Gr?bner and (in the case of a chain ring) Szekeres-like bases. We give an account of a number of decoding algorithms for alternant codes over commutative finite chain rings.
10#
發(fā)表于 2025-3-23 06:30:02 | 只看該作者
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