素次的分枝循环扩展的完全异格

International journal of pure and applied mathematics Pub Date : 2021-01-04 DOI:10.12732/ijam.v33i6.4

J. Interlando

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引用次数: 2

摘要

设p是奇素数。在p维上具有完全多样性的代数格是由p度的分支循环扩展得到的。3维、5维和7维格在球体填充密度方面是最优的，因此在这些维度上与层压格是等距的。AMS学科分类:11H31, 11R18, 11H50, 94B75

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FULLY-DIVERSE LATTICES FROM RAMIFIED CYCLIC EXTENSIONS OF PRIME DEGREE

Let p be an odd prime. Algebraic lattices of full diversity in dimension p are obtained from ramified cyclic extensions of degree p. The 3, 5, and 7-dimensional lattices are optimal with respect to sphere packing density and therefore are isometric to laminated lattices in those dimensions. AMS Subject Classification: 11H31, 11R18, 11H50, 94B75

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International journal of pure and applied mathematics

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