10 citations · 58 across the 28 of their papers we have counts for
7 papers · 1 filter
The covering radius of permutation designs
Patrick Solé
A notion of -designs in the symmetric group on letters was introduced by Godsil in 1988. In particular -transitive sets of permutations form a -design. We derive upper…
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…
Designs, permutations, and transitive groups
Minjia Shi, XiaoXiao Li, Patrick Solé
A notion of -designs in the symmetric group on letters was introduced by Godsil in 1988. In particular -transitive sets of permutations form a -design. We derive speci…
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…
Designs in finite metric spaces: a probabilistic approach
Minjia Shi, Olivier Rioul, Patrick Solé
A finite metric space is called here distance degree regular if its distance degree sequence is the same for every vertex. A notion of designs in such spaces is introduced that gen…
Zero sum sets in abelian groups
Minjia Shi, Denis S. Krotov, Xiaoxiao Li +1
The distribution of cardinalities of zero-sum sets in abelian groups is completely determined. A complex summation involving the Möbius function is given for the general abelian gr…