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August 1, 2026Quantum Information ProcessingOpen Access

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

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Authors

OCOisin CampionRSRodrigo San–José

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Overview

Computes the Hermitian hull dimension for generalized Reed-Solomon codes, suggesting new quantum error-correcting codes.

Key Points

  • The aim is to compute the dimension of the Hermitian hull for generalized Reed-Solomon codes.
  • Translated the hull dimension problem into a counting problem in a lattice.
  • Provided explicit formulas for the dimension of the hull.
  • Determined the minimum number of maximally entangled pairs required for entanglement-assisted quantum codes.
  • Constructed a variety of entanglement-assisted quantum MDS codes with new parameters.

Cite This Study

Campion et al. (2026) studied this question.

synapsesocial.com/papers/6a6d98b4e258b358b3c6c7efhttps://doi.org/10.1007/s11128-026-05297-9
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