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- Silvia P. Boumova, Peter Boyvalenkov, Hristina Kulina, Maya Stoyanova
- Des. Codes Cryptography
- 2009

We investigate the structure of spherical Ï„ -designs by applying polynomial techniques for investigation of some inner products of such designs. Our approach can be used for large variety ofâ€¦ (More)

- Peter Boyvalenkov, Hristina Kulina, Tanya Marinova, Maya Stoyanova
- Probl. Inf. Transm.
- 2015

- Silvia P. Boumova, Peter Boyvalenkov, Maya Stoyanova
- Probl. Inf. Transm.
- 2009

We combine polynomial techniques with some geometric arguments to obtain restrictions of the structure of spherical designs with fixed odd strength and odd cardinality. Our bounds for the extremeâ€¦ (More)

- Peter Boyvalenkov, Maya Stoyanova
- Adv. in Math. of Comm.
- 2013

We investigate the structure of spherical 5-designs of relatively small cardinalities. We obtain some bounds on the extreme inner products of such designs. As a result, in 42 cases we proveâ€¦ (More)

- Peter Boyvalenkov, Maya Stoyanova
- Discrete Mathematics
- 2010

- Peter Boyvalenkov, P. D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova
- Des. Codes Cryptography
- 2017

We obtain universal bounds on the energy of codes and for designs in Hamming spaces. Our bounds hold for a large class of potential functions, allow unified treatment, and can be viewed as aâ€¦ (More)

We obtain new nonexistence results for spherical 7-designs of odd cardinality. Our approach continues similar investigations for smaller strengths. We combine polynomial techniques with someâ€¦ (More)

- Peter Boyvalenkov, Danyo Danev, Maya Stoyanova
- ArXiv
- 2018

We develop refinements of the Levenshtein bound in q-ary Hamming spaces by taking into account the discrete nature of the distances versus the continuous behavior of certain parameters used byâ€¦ (More)

- Peter Boyvalenkov, Tanya Marinova, Maya Stoyanova
- Discrete Applied Mathematics
- 2017

We develop and apply combinatorial algorithms for investigation of the feasible distance distributions of binary orthogonal arrays with respect to a point of the ambient binary Hamming spaceâ€¦ (More)

- Peter Boyvalenkov, P. D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova
- Electronic Notes in Discrete Mathematics
- 2017

In this paper we introduce a framework for improvement of universal lower bounds on potential energy using the Delsarte-Yudin linear programming approach for polynomials. As a model example weâ€¦ (More)