On Linear Codes With One-Dimensional Euclidean Hull and Their Applications to EAQECCs

DOI10.1109/TIT.2022.3152580zbMath1505.94100arXiv2101.06461OpenAlexW3122350386WikidataQ114084328 ScholiaQ114084328MaRDI QIDQ5088557

Lin Sok

Publication date: 13 July 2022

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06461

zbMATH Keywords

linear codesentanglement-assisted quantum error-correcting codes (EAQECCs)Euclidean hull

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (10)

Theory of additive complementary dual codes, constructions and computations ⋮ \(l\)-LCP of codes and their applications to EAQEC codes ⋮ EAQEC codes from two distinct constacyclic codes ⋮ Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs ⋮ Matrix-product codes related to constacyclic codes and their applications to EAQEC codes ⋮ Binary optimal linear codes with various hull dimensions and entanglement-assisted QECCs ⋮ Optimal quaternary Hermitian LCD codes and their related codes ⋮ Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes ⋮ A new construction of linear codes with one-dimensional hull ⋮ Linear codes with arbitrary dimensional hull and their applications to EAQECCs

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