On constructions and parameters of symmetric configurations $$v_k$$vk


Journal article


A. Davydov, G. Faina, M. Giulietti, S. Marcugini, F. Pambianco
Des. Codes Cryptogr., 2012

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APA   Click to copy
Davydov, A., Faina, G., Giulietti, M., Marcugini, S., & Pambianco, F. (2012). On constructions and parameters of symmetric configurations $$v_{k}$$vk. Des. Codes Cryptogr.


Chicago/Turabian   Click to copy
Davydov, A., G. Faina, M. Giulietti, S. Marcugini, and F. Pambianco. “On Constructions and Parameters of Symmetric Configurations $$v_{k}$$Vk.” Des. Codes Cryptogr. (2012).


MLA   Click to copy
Davydov, A., et al. “On Constructions and Parameters of Symmetric Configurations $$v_{k}$$Vk.” Des. Codes Cryptogr., 2012.


BibTeX   Click to copy

@article{a2012a,
  title = {On constructions and parameters of symmetric configurations $$v_{k}$$vk},
  year = {2012},
  journal = {Des. Codes Cryptogr.},
  author = {Davydov, A. and Faina, G. and Giulietti, M. and Marcugini, S. and Pambianco, F.}
}

Abstract

The spectrum of possible parameters of symmetric configurations is investigated. We propose some new constructions, mainly based on Finite Geometry and on extension methods. New parameters are provided, both for general symmetric configurations and for cyclic symmetric configurations. For several values of $$k$$k, new upper bounds on the minimum integer $$E$$E such that for each $$v\ge E$$v≥E there exists a (cyclic) symmetric configuration $$v_{k}$$vk are obtained.


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