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IEEE Transactions on Information Theory, ISSN 0018-9448, 07/2017, Volume 63, Issue 7, pp. 4344 - 4356
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 11/2018, Volume 54, pp. 176 - 196
As a special class of linear codes, minimal linear codes have important applications in secret sharing and secure two-party computation. Constructing minimal... 
Linear code | Minimal code | Secret sharing | Minimal vector | MATHEMATICS | MATHEMATICS, APPLIED | SECRET SHARING SCHEMES | Computer science
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2011, Volume 57, Issue 4, pp. 2243 - 2251
In coding theory, self-dual codes and cyclic codes are important classes of codes which have been extensively studied. The main objects of study in this paper... 
self-dual | Linear code | Cyclic code | generator polynomial | Education | finite field | Polynomials | Generators | Vectors | Galois fields | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mobile communication systems | Wireless communication systems | Research
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 03/2018, Volume 50, pp. 138 - 153
In this paper1, we prove existence of optimal complementary dual codes (LCD codes) over large finite fields. We also give methods to generate orthogonal... 
Orthogonal matrices | Optimal codes | Complementary dual codes | Matrix product codes | MATHEMATICS | MATHEMATICS, APPLIED | LINEAR CODES | Signal processing | Mobile communication systems | Wireless communication systems
Journal Article
Journal of Systems Science and Complexity, ISSN 1009-6124, 12/2017, Volume 31, Issue 4, pp. 1 - 13
This paper deduces the structure of LCD negacyclic codes over the finite field F (q) , where q is an odd prime power. Based on the study of q-cyclotomic cosets... 
LCD codes | MDS codes | negacyclic codes | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | LINEAR CODES | COMPLEMENTARY | Liquid crystal displays
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 05/2018, Volume 51, pp. 270 - 297
Let Fq denote the finite field of order q, let m1,m2,⋯,mℓ be positive integers satisfying gcd⁡(mi,q)=1 for 1≤i≤ℓ, and let n=m1+m2+⋯+mℓ. Let Λ=(λ1,λ2,⋯,λℓ) be... 
Linear codes with complementary duals | Witt index | Sesquilinear forms | Totally isotropic spaces | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAIC STRUCTURE | LINEAR CODES | QUASI-CYCLIC CODES
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2019, Volume 65, Issue 3, pp. 1614 - 1625
In 2010, Silva et al. studied certain classes of finite-field matrix channels in order to model random linear network coding where exactly t random errors are... 
Matrix channels | Limiting | Channel capacity | Network coding | Linear codes | Probability distribution | Capacity planning | network coding | channel capacity | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mathematical analysis | Coding | Random errors | Matrix methods | Channels
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 11/2017, Volume 85, Issue 2, pp. 359 - 380
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2018, Volume 66, Issue 22, pp. 5875 - 5886
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2004, Volume 50, Issue 8, pp. 1728 - 1744
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2015, Volume 29, Issue 1, pp. 79 - 92
Permutation polynomials have been a subject of study for a long time and have applications in many areas of science and engineering. However, only a small... 
Linear code | Permutation polynomial | Difference set | Cryptography | Trinomial | POLYNOMIALS | difference set | POWER FUNCTIONS | MATHEMATICS, APPLIED | CODES | linear code | cryptography | trinomial | permutation polynomial | Permutations | Mathematical analysis | Polynomials
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 10/2018, Volume 17, Issue 10
When C subset of F-n is a linear code over a finite field F, every linear Hamming isometry of C to itself is the restriction of a linear Hamming isometry of... 
closure | extension property | Additive code | isometry | MATHEMATICS | MATHEMATICS, APPLIED | MODULES | RINGS | EXTENSION THEOREM | WEIGHTS | LINEAR CODES
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 2/2018, Volume 56, Issue 1, pp. 625 - 635
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 8/2019, Volume 87, Issue 8, pp. 1815 - 1838
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 07/2015, Volume 34, pp. 305 - 316
Let Fq be a finite field with q elements and m1, m2 two distinct positive integers such that gcd⁡(m1,m2)=d. Suppose that α1 and α2 are two primitive elements... 
Weight distribution | Gauss sums | Cyclic codes | FREQUENCY-HOPPING SEQUENCES | MATHEMATICS, APPLIED | WEIGHT DISTRIBUTIONS | LINEAR CODES | MATHEMATICS | DUALS | SETS | HAMMING WEIGHTS | SECRET SHARING SCHEMES | ZEROS
Journal Article
by Wang, G and Niu, MY and Fu, FW
INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, ISSN 0129-0541, 08/2019, Volume 30, Issue 5, pp. 735 - 757
In this paper, the Sphere-packing bound, Wang-Xing-Safavi-Naini bound, Johnson bound and Gilbert-Varshamov bound on the subspace code of length 2 nu + delta,... 
subspace codes | NETWORK | ERROR-CORRECTING CODES | finite field | bound | COMPUTER SCIENCE, THEORY & METHODS | Orthogonal space | steiner structure
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 09/2019, Volume 59, pp. 297 - 334
In this paper, we introduce a new class of linear codes over finite fields, viz. skew multi-twisted codes (or skew generalized quasi-twisted codes), which is a... 
Skew polynomial rings | Linear codes with complementary duals | Witt index | Sesquilinear forms | Totally isotropic spaces | duals | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAIC STRUCTURE | LINEAR CODES | QUASI-CYCLIC CODES | Linear codes with complementary | Liquid crystal displays | Electric generators
Journal Article
Cryptography and Communications, ISSN 1936-2447, 3/2018, Volume 10, Issue 2, pp. 319 - 341
Journal Article
Journal of Algebra Combinatorics Discrete Structures and Applications, ISSN 2148-838X, 05/2018, Volume 5, Issue 2, pp. 101 - 116
We prove the non--existence of $[g_q(4,d),4,d]_q$ codes for $d=2q^3-rq^2-2q+1$ for $3 \le r \le (q+1)/2$, $q \ge 5$; $d=2q^3-3q^2-3q+1$ for $q \ge 9$;... 
Journal Article
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