NDLI: Steiner triple ( quadruple ) systems of small ranks embedded into perfect ( extended perfect ) binary codes 1

Content Provider	Semantic Scholar
Author	Kovalevskaya, Darya I. Filimonova, E. S. Solov'eva, Faina I.
Copyright Year	2012
Abstract	It is shown that a class of Steiner triple systems of order 2−1, obtained by some special switchings from the Hamming Steiner triple system, is embedded into some perfect code, constructed by known switchings of ijk-components from the binary Hamming code. The number of Steiner triple systems of order n and rank less or equal n− log(n + 1) + 2, embedded into perfect binary codes of length n, is given. Similar results are obtained for Steiner quadruple systems.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.moi.math.bas.bg/moiuser/~ACCT2012/p36.pdf
Alternate Webpage(s)	http://www.researchgate.net/profile/Faina_Soloveva/publication/261704953_Steiner_triple_(quadruple)_systems_of_small_ranks_embedded_into_perfect_(extended_perfect)_binary_codes/links/547c87710cf285ad5b072349.pdf
Alternate Webpage(s)	http://www.math.bas.bg/moiuser/~ACCT2012/p36.pdf
Alternate Webpage(s)	http://www.moi.math.bas.bg/moiuser/~ACCT2012/b36.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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