New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes

January 28, 2025 · Declared Dead · 🏛 Cryptography and Communications

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Authors Oisin Campion, Fernando Hernando, Gary McGuire arXiv ID 2501.17010 Category cs.IT: Information Theory Citations 2 Venue Cryptography and Communications Last Checked 4 months ago
Abstract
Let $q$ be a prime power. Let $λ>1$ be a divisor of $q-1$, and let $τ>1$ and $ρ>1$ be divisors of $q+1$. Under certain conditions we prove that there exists an MDS stabilizer quantum code with length $n=λτσ$ where $2\le σ\le ρ$. This is a flexible construction, which includes new MDS parameters not known before.
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