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07/09/2023
Some new constructions of optimal linear codes and alphabet-optimal (r,δ)-locally repairable codes
In distributed storage systems, locally repairable codes (LRCs) are desi...
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01/02/2023
Bent Partitions, Vectorial Dual-Bent Functions and Partial Difference Sets
It is known that partial spreads is a class of bent partitions. In <cit....
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07/24/2022
Constructions of linear codes with two or three weights from vectorial dual-bent functions
Linear codes with a few weights are an important class of codes in codin...
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03/23/2022
On generalized quasi-cyclic codes over ℤ_4
Based on good algebraic structures and practicabilities, generalized qua...
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02/18/2022
Post-quantum Multi-stage Secret Sharing Schemes using Inhomogeneous Linear Recursion and Ajtai's Function
Secret sharing was firstly proposed in 1979 by Shamir and Blakley respec...
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02/08/2022
New results on vectorial dual-bent functions and partial difference sets
Bent functions f: V_n→𝔽_p with certain additional properties play an imp...
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12/31/2021
Polynomial-Time Key Recovery Attack on the Lau-Tan Cryptosystem Based on Gabidulin Codes
This paper presents a key recovery attack on the cryptosystem proposed b...
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08/23/2021
Decoding Error Probability of the Random Matrix Ensemble over the Erasure Channel
Using tools developed in a recent work by Shen and the second author, in...
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07/09/2021
On pure MDS asymmetric entanglement-assisted quantum error-correcting codes
Recently, Galindo et al. introduced the concept of asymmetric entangleme...
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07/07/2021
Semilinear transformations in coding theory and their application to cryptography
This paper presents a brand-new idea of masking the algebraic structure ...
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07/04/2021
Expanded Gabidulin Codes and Their Application to Cryptography
This paper presents a new family of linear codes, namely the expanded Ga...
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06/06/2021
On the Dual of Generalized Bent Functions
In this paper, we study the dual of generalized bent functions f: V_n→ℤ_...
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03/22/2021
New constructions of MDS self-dual and self-orthogonal codes via GRS codes
The parameters of MDS self-dual codes are completely determined by the c...
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03/18/2021
Some Generic Constructions of Generalized Plateaued Functions
Plateaued functions as an extension of bent functions play a significant...
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11/17/2020
New (k,l,m)-verifiable multi-secret sharing schemes based on XTR public key system
Secret sharing was proposed primarily in 1979 to solve the problem of ke...
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07/29/2020
New Constructions of Optimal Cyclic (r,δ) Locally Repairable Codes from Their Zeros
An (r, δ)-locally repairable code ((r, δ)-LRC for short) was introduced ...
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05/31/2020
Construction of MDS Euclidean Self-Dual Codes via Two Subsets
The parameters of a q-ary MDS Euclidean self-dual codes are completely d...
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05/24/2020
A Note on Self-Dual Generalized Reed-Solomon Codes
A linear code is called an MDS self-dual code if it is both an MDS code ...
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10/05/2019
On self-duality and hulls of cyclic codes over F_2^m[u]/〈 u^k〉 with oddly even length
Let F_2^m be a finite field of 2^m elements, and R=F_2^m[u]/〈 u^k〉=F_2^m...
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07/14/2019
Construction and enumeration for self-dual cyclic codes of even length over F_2^m + uF_2^m
Let F_2^m be a finite field of cardinality 2^m, R=F_2^m+uF_2^m (u^2=0) a...
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06/11/2019
New dynamic and verifiable multi-secret sharing schemes based on LFSR public key cryptosystem
A verifiable multi-secret sharing (VMSS) scheme enables the dealer to sh...
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02/20/2019
Self-dual binary [8m, 4m]-codes constructed by left ideals of the dihedral group algebra F_2[D_8m]
Let m be an arbitrary positive integer and D_8m be a dihedral group of o...
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12/21/2018
Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
In this paper, we construct several classes of maximum distance separabl...
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11/27/2018
An explicit representation and enumeration for negacyclic codes of length 2^kn over Z_4+uZ_4
In this paper, an explicit representation and enumeration for negacyclic...
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11/06/2018
Local-Encoding-Preserving Secure Network Coding---Part II: Flexible Rate and Security Level
In the two-part paper, we consider the problem of secure network coding ...
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11/06/2018
Local-Encoding-Preserving Secure Network Coding---Part I: Fixed Security Level
Information-theoretic security is considered in the paradigm of network ...
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05/31/2018
Optimal cyclic (r,δ) locally repairable codes with unbounded length
Locally repairable codes with locality r (r-LRCs for short) were introdu...
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05/15/2018
A class of repeated-root constacyclic codes over F_p^m[u]/〈 u^e〉 of Type 2
Let F_p^m be a finite field of cardinality p^m where p is an odd prime, ...
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04/23/2018
Some New Constructions of Quantum MDS Codes
It is an important task to construct quantum MDS codes with good paramet...
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03/18/2018
Two new classes of quantum MDS codes
Let p be a prime and let q be a power of p. In this paper, by using gene...
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03/03/2018