清醒
发表于 2025-3-23 13:19:02
Further Examples of Self-Dual Codes,This chapter describes some families of self-dual codes that cannot be obtained from representations of quasisimple form rings: codes over Z/mZ (§8.1), then the special cases of codes over Z/4Z (§8.2) and Z/8Z (§8.3), codes over more general Galois rings (§8.4), and codes over F. + F. . with . = 0 (§8.5).
手段
发表于 2025-3-23 15:15:22
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易于
发表于 2025-3-23 18:31:33
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商议
发表于 2025-3-24 01:48:56
The Main Theorems,d in §5.5. They show that under quite general conditions, the invariant ring of the Clifford-Weil group .(.) associated with a finite representation . of a form ring is spanned by the complete weight enumerators of self-dual isotropic codes of Type . (and arbitrary length).
勤劳
发表于 2025-3-24 04:59:43
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dilute
发表于 2025-3-24 10:16:00
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Adj异类的
发表于 2025-3-24 10:46:59
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寒冷
发表于 2025-3-24 17:31:45
1431-1550theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory whi
关心
发表于 2025-3-24 21:00:50
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reaching
发表于 2025-3-25 01:23:35
The Category Quad,and in the proofs of the main theorems in Chapter 5. Another application will be the definition of the Witt group of representations of a form ring (§4.6). This will be used to define the universal Clifford-Weil group associated with a finite form ring (see §5.4).