10 citations · 58 across the 28 of their papers we have counts for
8 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…
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…
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…
On strongly walk regular graphs, triple sum sets and their codes
Michael Kiermaier, Sascha Kurz, Patrick Solé +2
Strongly walk regular graphs (SWRGs or -SWRGs) form a natural generalization of strongly regular graphs (SRGs) where paths of length~2 are replaced by paths of length~. They…
The uncertainty principle over finite fields
Martino Borello, Patrick Solé
In this paper we study the uncertainty principle (UP) connecting a function over a finite field and its Mattson-Solomon polynomial, which is a kind of Fourier transform in positive…