3 papers
On The Cyclicity of Algebraic Lattices
Maria Fernanda Zordan Bonini, Robson Ricardo de Araujo, Antonio Aparecido de Andrade +1
This work presents theoretical advances in the study of cyclic and quasi-cyclic lattices. First, we provide elementary facts regarding cyclic and quasi-cyclic lattices, and discuss…
New Three and Four-Dimensional Toric and Burst-Error-Correcting Quantum Codes
Cibele Cristina Trinca, Reginaldo Palazzo, Ricardo Augusto Watanabe +3
Ongoing research and experiments have enabled quantum memory to realize the storage of qubits. On the other hand, interleaving techniques are used to deal with burst of errors. Eff…
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…