RT info:eu-repo/semantics/article
T1 Classical and quantum evaluation codes at the trace roots
A1 Galindo, Carlos
A1 Hernando, Fernando
A1 Ruano Benito, Diego
AB We introduce a new class of evaluation linear codes by evaluating polynomials at the roots of a suitable trace function. We give conditions for self-orthogonality of these codes and their subfield-subcodes with respect to the Hermitian inner product. They allow us to construct stabilizer quantum codes over several finite fields which substantially improve the codes in the literature. For the binary case, we obtain records at http://codetables.de/. Moreover, we obtain several classical linear codes over the field with 4 elements which are records at http://codetables.de/.
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/31720
UL http://uvadoc.uva.es/handle/10324/31720
LA eng
NO IEEE Transactions on Information Theory, accepted for publication
NO Producción Científica
DS UVaDOC
RD 16-nov-2024