Listar IMAC_Articles por autoría "d827d3da-c2bd-4d06-8645-d9a9e1822ead"
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MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes
Springer Nature (2024-03-01)We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and dimension. ... -
Optimal (r,δ)-LRCs from monomial-Cartesian codes and their subfield-subcodes
Springer (2024-05-02)We study monomial-Cartesian codes (MCCs) which can be regarded as (r,δ)-locally recoverable codes (LRCs). These codes come with a natural bound for their minimum distance and we determine those giving rise to (r,δ)-optimal ...
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Stabilizer quantum codes defined by trace-depending polynomials
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 ...
