EAQEC codes from s-Galois hulls decomposition of linear codes

Published 18 Aug 2024 in math.RA and math.QA | (2408.09334v1)

Abstract: Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois hulls decomposition of linear codes over finite fields. By means of this decomposition, we provide a method to construct EAQEC codes. Using this method, we construct new EAQEC codes.

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