Characterization of totally real subfields of 2-power cyclotomic fields and applications to signal set design
| dc.contributor.author | Ferrari, Agnaldo J. [UNESP] | |
| dc.contributor.author | de Andrade, Antonio A. [UNESP] | |
| dc.contributor.author | Interlando, José C. | |
| dc.contributor.author | Alves, Carina [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | San Diego State University | |
| dc.date.accessioned | 2025-04-29T20:11:26Z | |
| dc.date.issued | 2024-05-21 | |
| dc.description.abstract | A classification of all totally real subfields K of cyclotomic fields Q(ξ2r), for any r ≥ 4, and the fully-diverse related versions of the Zn-lattice are presented along with closed-form expressions for their minimum product distance. Any totally real subfield K of Q(ξ2r) must be of the form K = Q(ξ2s +ξ−1 2s), where s = r−j for some 0 ≤ j ≤ r−3. Signal constellations for transmitting information over both Gaussian and Rayleigh fading channels (which can be useful for mobile communications) can be carved out of those lattices. | en |
| dc.description.affiliation | Department of Mathematics São Paulo State University, SP | |
| dc.description.affiliation | Department of Mathematics & Statistics San Diego State University | |
| dc.description.affiliationUnesp | Department of Mathematics São Paulo State University, SP | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | FAPESP: 2013/25977-7 | |
| dc.description.sponsorshipId | CNPq: 429346/2018-2 | |
| dc.format.extent | 73-81 | |
| dc.identifier | http://dx.doi.org/10.13069/jacodesmath.v11i2.207 | |
| dc.identifier.citation | Journal of Algebra Combinatorics Discrete Structures and Applications, v. 11, n. 2, p. 73-81, 2024. | |
| dc.identifier.doi | 10.13069/jacodesmath.v11i2.207 | |
| dc.identifier.issn | 2148-838X | |
| dc.identifier.scopus | 2-s2.0-85195109849 | |
| dc.identifier.uri | https://hdl.handle.net/11449/308167 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Algebra Combinatorics Discrete Structures and Applications | |
| dc.source | Scopus | |
| dc.subject | Algebraic lattices | |
| dc.subject | Cyclotomic fields | |
| dc.subject | Minimum product distance | |
| dc.subject | Signal design | |
| dc.title | Characterization of totally real subfields of 2-power cyclotomic fields and applications to signal set design | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication |