Titlebook: Lattices and Codes; A Course Partially B Wolfgang Ebeling Textbook 2013Latest edition Springer Fachmedien Wiesbaden 2013 Leech lattice.modu

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Wolfgang EbelingMaster course on the relationship between coding theory and the.theory of integral lattices.Linking classical mathematics to modern aspects in the design of codes.With many examples and connections to

只看該作者 · 發(fā)表于 2025-3-25 20:43:44

Advanced Lectures in Mathematicshttp://image.papertrans.cn/l/image/581954.jpg

只看該作者 · 發(fā)表于 2025-3-26 01:05:50

Lattices and Codes,In this section we introduce the basic concept of a lattice in Rn. For references see [81],[61], [9], [45], and [72].

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Even Unimodular Lattices,In this section we study modified theta functions, namely theta series with spherical coefficients, and their behavior under transformations of the modular group. The results of this section are due to E. Hecke [32] and B. Schoeneberg [78, 79]. Our presentation follows [71, Chap. VI] and [83].

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The Leech Lattice,This chapter is devoted to this important lattice. We shall first show the uniqueness of this lattice. We shall prove the following theorem.

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