10 citations · 58 across the 28 of their papers we have counts for
10 papers · 1 filter
Self-orthogonal codes over a non-unital ring and combinatorial matrices
Minjia Shi, Shukai Wang, Jon-Lark Kim +1
There is a local ring of order without identity for the multiplication, defined by generators and relations as $E=\langle a,b \mid 2a=2b=0,\, a^2=a,\, b^2=b,\,ab=a,\, ba=b…
On isodual double Toeplitz codes
Minjia Shi, Li Xu, Patrick Solé
Double Toeplitz (shortly DT) codes are introduced here as a generalization of double circulant codes. We show that such a code is isodual, hence formally self-dual. Self-dual DT co…
The extended binary quadratic residue code of length 42 holds a 3-design
Alexis Bonnecaze, Patrick Solé
The codewords of weight of the extended binary quadratic residue code are shown to hold a design of parameters Its automorphism group is isomorphi…
How many weights can a cyclic code have ?
Minjia Shi, Xiaoxiao Li, Alessandro Neri +1
Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered…
Two weight -codes, odd prime
MinJia Shi, Zahra Sepasdar, Rongsheng Wu +1
We show that regular homogeneous two-weight -codes where is odd and with dual Hamming distance at least four do not exist. The proof relies on…
cyclic codes over
Irwansyah, Aleams Barra, Steven T. Dougherty +5
We study cyclic codes over the family of rings We characterize cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and…