Listar IMAC_Articles por autoría "b55bc5f7-1b6a-440d-b4f6-a6f44a37856f"
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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh; Ruano, Diego IEEE (2020-01-17)The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ... -
Classical and Quantum Evaluation Codesat the Trace Roots
Galindo, Carlos; Hernando, Fernando; Ruano, Diego IEEE (2019-04)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 ... -
New binary and ternary LCD codes
Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego IEEE (2018-05-09)LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field ... -
Stabilizer quantum codes defined by trace-depending polynomials
Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego Elsevier (2022-12-29)Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending ...