4 papers
Algebraic Lattices Arising from Congruence Submodules in Subfields of -th Cyclotomic Fields
Trajano Pires da Nóbrega Neto, Antonio Aparecido de Andrade, Jéfferson Luiz Rocha Bastos +2
The classical sphere packing problem, which remains unsolved, consists of determining how densely a large number of identical spheres can be packed together. In some sphere packing…
Non-norm criteria and optimal space-time block codes over rings of integers of imaginary quadratic fields
Carina Alves, Eliton Mendonça Moro, Cintya Wink de Oliveira Benedito +1
Codes arising from algebraic structures over number fields lead naturally to determinant optimization problems governed by arithmetic invariants. In this paper, we investigate $2\t…
Constructions of well-rounded algebraic lattices over odd prime degree cyclic number fields
Robson Ricardo de Araujo, Antonio Aparecido de Andrade, Trajano Pires da Nóbrega Neto +1
Algebraic lattices are those obtained from modules in the ring of integers of algebraic number fields through the canonical or twisted embeddings. In turn, well-rounded lattices ar…
Characterization of -Dimensional Toric and Burst-Error-Correcting Quantum Codes from Lattice Codes
Cibele Cristina Trinca, Reginaldo Palazzo, J. Carmelo Interlando +4
Quantum error correction is essential for the development of any scalable quantum computer. In this work we introduce a generalization of a quantum interleaving method for combatin…