1 citations · 1 across the 3 of their papers we have counts for
5 papers
Efficient lifts into odd dimensions of Spherical - and -designs with Balanced Halves
Konstantin Delchev, Boryan Yordanov
We propose constructions of spherical - and -designs in odd dimensions by lifting balanced halves of even-dimensional designs to several layers of suitable latitudes. For eve…
The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square
Turgay Akyar, Artem Beliakov, Konstantin Delchev +6
Place one grain at every nonsink vertex of the wired square, and let be the order of this operation in the sandpile group. Thus is the least positive …
On two-weight codes
P. G. Boyvalenkov, K. V. Delchev, D. V. Zinoviev +1
We consider -ary (linear and nonlinear) block codes with exactly two distances: and . Several combinatorial constructions of optimal such codes are given. In the linear…
On q-ary codes with two distances d and d+1
P. Boyvalenkov, K. Delchev, D. Zinoviev +1
The -ary block codes with two distances and are considered. Several constructions of such codes are given, as in the linear case all codes can be obtained by a simple…
Upper Energy Bounds for Spherical Designs of Relatively Small Cardinalities
Peter Boyvalenkov, Konstantin Delchev, Matthieu Jourdain
We derive upper bounds for the potential energy of spherical designs of cardinality close to the Delsarte-Goethals-Seidel bound. These bounds are obtained by linear programming wit…