86 citations · 604 across the 61 of their papers we have counts for
69 papers
Generator polynomial matrices of the Galois hulls of multi-twisted codes
Ramy Taki Eldin, Patrick Sole
In this study, we consider the Euclidean and Galois hulls of multi-twisted (MT) codes over a finite field of characteristic . Let be a generator…
A new method for constructing linear codes with small hulls
Liqin Qian, Xiwang Cao, Wei Lu +1
The hull of a linear code over finite fields is the intersection of the code and its dual, which was introduced by Assmus and Key. In this paper, we develop a method to construct l…
LCD Codes from tridiagonal Toeplitz matrice
Minjia Shi, Ferruh Özbudak, Li Xu +1
Double Toeplitz (DT) codes are codes with a generator matrix of the form with a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When …
Two-weight codes over the integers modulo a prime power
Minjia Shi, Tor Helleseth, Patrick Sole
Let be a prime number. Irreducible cyclic codes of length and dimension over the integers modulo are shown to have exactly two nonzero Hamming weights. The co…
Asymptotic performance of metacyclic codes
Martino Borello, Pieter Moree, Patrick Solé
A finite group with a cyclic normal subgroup N such that G/N is cyclic is said to be metacyclic. A code over a finite field F is a metacyclic code if it is a left ideal in the grou…
Good Stabilizer Codes from Quasi-Cyclic Codes over and
Martianus Frederic Ezerman, San Ling, Buket Özkaya +1
We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over and to derive good qubit and qutrit stabilizer codes, respective…