Classical and Quantum Evaluation Codesat the Trace Roots
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INVESTIGACIONMetadata
Title
Classical and Quantum Evaluation Codesat the Trace RootsDate
2019-04Publisher
IEEEBibliographic citation
GALINDO, Carlos; HERNANDO, Fernando; RUANO, Diego. Classical and quantum evaluation codes at the trace roots. IEEE Transactions on Information Theory, 2018, 65.4: 2593-2602.Type
info:eu-repo/semantics/articlePublisher version
https://ieeexplore.ieee.org/abstract/document/8453838Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
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 ... [+]
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 F 4 which are records at http://codetables.de/. [-]
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