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CONSTRUCTIONS OF FULL DIVERSITY D-n-LATTICES FOR ALL n

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Author(s):
de Araujo, Robson R. ; Jorge, Grasiele C.
Total Authors: 2
Document type: Journal article
Source: Rocky Mountain Journal of Mathematics; v. 50, n. 4, p. 14-pg., 2020-08-01.
Abstract

We construct some families of full diversity rotated D-n-lattices via Z-modules for any n >= 3. We show that Z-modules known in previous works to obtain rotated Z(n)-lattices with n an odd integer are ideals and we find a sufficient condition for such ideals to be principal ideals. We also present bounds and formulas for the minimum product distance of Z(n) and D-n restricted to some conditions. (AU)

FAPESP's process: 15/17167-0 - Algebraic lattices via abelian number fields
Grantee:Grasiele Cristiane Jorge
Support Opportunities: Regular Research Grants
FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants