| Full text | |
| Author(s): |
Bastos, Gustavo Terra
;
Palazzo Junior, Reginaldo
;
Guerreiro, Marines
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Advances in Mathematics of Communications; v. 14, n. 4, p. 20-pg., 2020-11-01. |
| Abstract | |
In this paper we characterize the orbit codes as geometrically uniform codes. This characterization is based on the description of all isometries over a projective geometry. In addition, Abelian orbit codes are defined and a construction of Abelian non-cyclic orbit codes is presented. In order to analyze their structures, the concept of geometrically uniform partitions have to be reinterpreted. As a consequence, a substantial reduction in the number of computations needed to obtain the minimum subspace distance of these codes is achieved and established. An application of orbit codes to multishot subspace codes obtained according to a multi-level construction is provided. (AU) | |
| FAPESP's process: | 13/25977-7 - Security and reliability of Information: theory and practice |
| Grantee: | Marcelo Firer |
| Support Opportunities: | Research Projects - Thematic Grants |