10 citations · 58 across the 28 of their papers we have counts for
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cs.IT2021
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…
cs.IT2021★ 2 cited
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…
cs.IT2021★ 9 cited
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…