| Autor: |
José Ferrari, Agnaldo, Aparecido de Andrade, Antonio, Ricardo de Araujo, Robson, Carmelo Interlando, José |
| Předmět: |
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| Zdroj: |
Journal of Algebra Combinatorics Discrete Structures & Applications; 2020, Vol. 7 Issue 2, p141-160, 20p |
| Abstrakt: |
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula for the Gram matrix of algebraic lattices obtained from these subfields. The obtained lattices are rotated versions of the lattices Λ9;Λ10 and Λ11 and they are images of Z-submodules of rings of integers under the twisted homomorphism, and these constructions, as algebraic lattices, are new in the literature. We also obtain algebraic lattices in odd dimensions up to 7 over real subfields, calculate their minimum product distance and compare with those known in literatura, since lattices constructed over real subfields have full diversity. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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