Work

Hermitian hull of some GRS codes and new entanglement-assisted quantum MDS codes

Year: 2026

Type: article

Abstract: We study the Hermitian hull of a particular family of generalized Reed–Solomon codes. The problem of computing the dimension of the hull is translated to a counting problem in a lattice. By solving this problem, we provide explicit formulas for the dimension of the hull, which determines the minimum number required of maximally entangled pairs for the associated entanglement-assisted quantum error-correcting codes. This flexible construction allows to obtain a wide range of entanglement-assisted quantum MDS codes, as well as new parameters.

Source: Quantum Information Processing

DOI: 10.1007/s11128-026-05297-9

Authors: Oisin Campion, Rodrigo San-José

Institutions: University College Dublin, Universidad de Valladolid, Virginia Tech

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990