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cs.IT2025
New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes
Oisin Campion, Fernando Hernando, Gary McGuire
In this work, we define Generalized Monomial Cartesian Codes (GMCC), which constitute a natural extension of generalized Reed-Solomon codes. We describe how two different generaliz…
cs.IT2025
New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes
Oisin Campion, Fernando Hernando, Gary McGuire
Let be a prime power. Let be a divisor of , and let and be divisors of . Under certain conditions we prove that there exists an MDS stabilizer quant…
cs.IT2023
MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz +1
We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formu…