Search Results - "Li, Lanqiang"
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New quantum codes and entanglement-assisted quantum codes from repeated-root cyclic codes of length 2rps
Published in Quantum information processing (23-09-2024)“…Let p be an odd prime and r , s , m be positive integers. In this study, we initiate our exploration by delving into the intricate structure of all…”
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Some constructions of quantum MDS codes and EAQMDS codes from GRS codes
Published in Quantum information processing (18-07-2024)“…Quantum error-correcting codes and entanglement-assisted quantum error-correcting codes have important applications in quantum computing and quantum…”
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3
Optimal quinary cyclic codes with three zeros
Published in Cryptography and communications (2024)“…Cyclic codes are an important subclass of linear codes, they not only have good algebraic structure, but also are easy to be encoded and decoded. At present,…”
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New Quantum Codes Derived from Cyclic Codes
Published in International journal of theoretical physics (01-04-2020)“…In this paper, we construct optimal or almost optimal dual-containing cyclic codes from cyclotomic classes of order r . Based on these cyclic codes…”
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Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals
Published in Chinese Journal of Electronics (01-07-2019)“…Cyclic codes as a subclass of linear codes have wide applications in communication systems, consumer electronics and data storage systems, due to their…”
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Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
Published in IEEE transactions on information theory (01-06-2020)“…In this paper, we construct several classes of maximum distance separable (MDS) codes via generalized Reed-Solomon (GRS) codes and extended GRS codes, where we…”
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Quantum Synchronizable Codes From the Cyclotomy of Order Four
Published in IEEE communications letters (01-01-2019)“…Quantum synchronizable codes (QSCs) are special quantum error-correcting codes (QECCs) that correct the effects of both quantum noise on qubits and…”
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8
Several classes of optimal cyclic codes with three zeros
Published in Applicable algebra in engineering, communication and computing (07-12-2023)Get full text
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Study on interaction between macrocell and microcell in the early corrosion process of reinforcing steel in concrete
Published in Science China Technological Sciences (01-05-2010)“…An array electrode technique was developed as a novel electrochemical method for studying the interaction between macrocell and microcell in the early…”
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10
Some results on the Hamming distances of cyclic codes
Published in Applicable algebra in engineering, communication and computing (30-05-2024)Get full text
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11
Three new classes of entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes
Published in Quantum information processing (01-12-2019)“…Entanglement-assisted quantum error-correcting (EAQEC) codes can be obtained from arbitrary classical linear codes, based on the entanglement-assisted…”
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12
Entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes
Published in Quantum information processing (01-05-2019)“…Entanglement-assisted quantum error-correcting (EAQEC) codes are a generalization of standard stabilizer quantum codes that can be obtained from arbitrary…”
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13
New quantum codes and entanglement-assisted quantum codes from repeated-root cyclic codes of length $$2^rp^s
Published in Quantum information processing (23-09-2024)Get full text
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The Weight Distributions of Two Classes of Nonbinary Cyclic Codes With Few Weights
Published in IEEE communications letters (01-11-2017)“…The objective of this letter is to construct two classes of cyclic codes over <inline-formula> <tex-math notation="LaTeX">F_{p} </tex-math></inline-formula>…”
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15
Repeated-root constacyclic codes of length 3lp and their dual codes
Published in Finite fields and their applications (01-11-2016)Get full text
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Repeated-root constacyclic codes of length nlps
Published in Discrete mathematics (01-09-2017)“…In this paper, we explicitly determine the generator polynomials of all repeated-root constacyclic codes of length nlps over Fq and their dual codes, where l…”
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Repeated-root constacyclic codes of length n l p s
Published in Discrete mathematics (01-09-2017)Get full text
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Repeated-root constacyclic codes of length 3lps and their dual codes
Published in Finite fields and their applications (01-11-2016)“…Let p≠3 be any prime and l≠3 be any odd prime with gcd(p,l)=1. The multiplicative group Fq⁎=〈ξ〉 can be decomposed into mutually disjoint union of…”
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19
New QEC codes and EAQEC codes from repeated-root cyclic codes of length $2^rp^s
Published 19-06-2024“…Let $p$ be an odd prime and $r,s,m$ be positive integers. In this study, we initiate our exploration by delving into the intricate structure of all…”
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Binary duadic codes and their related codes with a square-root-like lower bound
Published 27-04-2024“…Binary cyclic codes have been a hot topic for many years, and significant progress has been made in the study of this types of codes. As is well known, it is…”
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