Abstract | ||
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In this paper, we construct new families of classical convolutional codes (CCC’s) and new families of quantum convolutional codes (QCC’s). The CCC’s are derived from (block) algebraic geometry (AG) codes. Furthermore, new families of CCC’s are constructed by applying the techniques of puncturing, extending, expanding, and by the direct product code construction applied to AG codes. In addition, utilizing the new CCC’s constructed here, we obtain new families of QCC’s. The parameters of these new codes are good. More precisely, in the classical case, a family of almost near maximum distance separable (MDS) codes is presented; in the quantum case, we construct a family of MDS (optimal) quantum convolutional codes. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1109/TCOMM.2018.2875754 | IEEE Transactions on Communications |
Keywords | Field | DocType |
Convolutional codes,Geometry,Generators,Systematics,Cost accounting,Quantum communication,Electronic mail | Quantum,Algebraic geometry,Convolutional code,Direct product,Algebra,Computer science,Separable space,Electronic engineering,Quantum information science,Puncturing | Journal |
Volume | Issue | ISSN |
67 | 1 | 0090-6778 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Francisco Revson Fernandes Pereira | 1 | 4 | 1.08 |
Giuliano Gadioli La Guardia | 2 | 0 | 0.68 |
Francisco Marcos de Assis | 3 | 3 | 3.97 |