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09/21/2023
A quaternary analogue of Tang-Ding codes
In a recent paper, Tang and Ding introduced a class of binary cyclic cod...
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05/24/2023
Generator polynomial matrices of the Galois hulls of multi-twisted codes
In this study, we consider the Euclidean and Galois hulls of multi-twist...
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01/31/2023
The weight spectrum of several families of Reed-Muller codes
We determine the weight spectrum of RM(m-3,m) for m≥ 6, of RM(m-4,m) for...
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07/05/2022
Additive complementary dual codes over _4
A linear code is linear complementary dual (LCD) if it meets its dual tr...
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05/31/2022
On the coset graph construction of distance-regular graphs
We show that no more new distance-regular graphs in the tables of the bo...
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03/30/2022
Self-dual Hadamard bent sequences
A new notion of bent sequence related to Hadamard matrices was introduce...
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11/09/2021
On the structure of 1-generator quasi-polycyclic codes over finite chain rings
Quasi-polycyclic (QP for short) codes over a finite chain ring R are a g...
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08/09/2021
The covering radius of permutation designs
A notion of t-designs in the symmetric group on n letters was introduced...
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06/14/2021
Self-orthogonal codes over a non-unital ring and combinatorial matrices
There is a local ring E of order 4, without identity for the multiplicat...
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05/17/2021
Designs, permutations, and transitive groups
A notion of t-designs in the symmetric group on n letters was introduced...
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03/19/2021
A new method for constructing linear codes with small hulls
The hull of a linear code over finite fields is the intersection of the ...
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03/07/2021
LCD Codes from tridiagonal Toeplitz matrice
Double Toeplitz (DT) codes are codes with a generator matrix of the form...
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02/18/2021
On isodual double Toeplitz codes
Double Toeplitz (shortly DT) codes are introduced here as a generalizati...
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02/16/2021
Designs in finite metric spaces: a probabilistic approach
A finite metric space is called here distance degree regular if its dist...
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01/08/2021
The extended binary quadratic residue code of length 42 holds a 3-design
The codewords of weight 10 of the [42,21,10] extended binary quadratic r...
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07/08/2020
The uncertainty principle over finite fields
In this paper we study the uncertainty principle (UP) connecting a funct...
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11/15/2019
Two-weight codes over the integers modulo a prime power
Let p be a prime number. Irreducible cyclic codes of length p^2-1 and di...
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06/18/2019
Asymptotic performance of metacyclic codes
A finite group with a cyclic normal subgroup N such that G/N is cyclic i...
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06/12/2019
Good Stabilizer Codes from Quasi-Cyclic Codes over F_4 and F_9
We apply quantum Construction X on quasi-cyclic codes with large Hermiti...
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11/09/2018
On isodual double polycirculant codes
Double polycirculant codes are introduced here as a generalization of do...
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09/28/2018
A new approach to the Kasami codes of type 2
The dual of the Kasami code of length q^2-1, with q a power of 2, is con...
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07/23/2018
The largest number of weights in cyclic codes
Upper and lower bounds on the largest number of weights in a cyclic code...
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07/03/2018
The Concatenated Structure of Quasi-Abelian Codes
The decomposition of a quasi-abelian code into shorter linear codes over...
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07/01/2018
A complete characterization of plateaued Boolean functions in terms of their Cayley graphs
In this paper we find a complete characterization of plateaued Boolean f...
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06/19/2018
A new distance-regular graph of diameter 3 on 1024 vertices
The dodecacode is a nonlinear additive quaternary code of length 12. By ...
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06/08/2018
On self-dual and LCD double circulant and double negacirculant codes over F_q + uF_q
Double circulant codes of length 2n over the semilocal ring R = F_q + uF...
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02/24/2018
Linear codes with few weights over F_2+uF_2
In this paper, we construct an infinite family of five-weight codes from...
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02/01/2018
How many weights can a linear code have?
We study the combinatorial function L(k,q), the maximum number of nonzer...
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01/20/2018