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31#
發(fā)表于 2025-3-26 22:29:52 | 只看該作者
An Introduction to Ring-Linear Coding Theory and modules. Particular attention will be paid to weight functions on these, before some foundational results of ring-linear coding will be discussed. Among these we will deal with code equivalence, and with MacWilliams’ identities about the relation between weight enumerators. A further section is
32#
發(fā)表于 2025-3-27 04:06:34 | 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 ove
33#
發(fā)表于 2025-3-27 09:07:57 | 只看該作者
34#
發(fā)表于 2025-3-27 09:59:38 | 只看該作者
35#
發(fā)表于 2025-3-27 17:05:31 | 只看該作者
36#
發(fā)表于 2025-3-27 21:01:20 | 只看該作者
https://doi.org/10.1007/978-3-030-35272-1on. To do this we introduce, with examples, the concept of linear codes and their parameters, in particular the Hamming distance..A fundamental subclass of linear codes is given by cyclic codes, that enjoy a very interesting algebraic structure. In fact, cyclic codes can be viewed as ideals in a res
37#
發(fā)表于 2025-3-27 22:27:44 | 只看該作者
38#
發(fā)表于 2025-3-28 04:01:12 | 只看該作者
39#
發(fā)表于 2025-3-28 08:01:25 | 只看該作者
40#
發(fā)表于 2025-3-28 13:14:57 | 只看該作者
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