On shifting sets in the binary hypercube Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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Output data | Year: 2009, Volume: 3, Number: 2, Pages: 290-296 Pages count : 7 DOI: 10.1134/s199047890902015x | ||
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Abstract:
If two codes with distance 3 have some coincident neighborhoods then each of them is called a shifting set. In the binary $(4k+3)$-dimensional hypercube, there exists a shifting set of power $2·6^k$ which can be neither divided into shifting sets of less size nor represented as a natural dilatation of a shifting set of less size.
Cite:
Vasil'ev Y.L.
, Avgustinovich S.V.
, Krotov D.S.
On shifting sets in the binary hypercube
Journal of Applied and Industrial Mathematics. 2009. V.3. N2. P.290-296. DOI: 10.1134/s199047890902015x Scopus РИНЦ OpenAlex
On shifting sets in the binary hypercube
Journal of Applied and Industrial Mathematics. 2009. V.3. N2. P.290-296. DOI: 10.1134/s199047890902015x Scopus РИНЦ OpenAlex
Original:
Васильев Ю.Л.
, Августинович С.В.
, Кротов Д.С.
О подвижных множествах в двоичном гиперкубе
Дискретный анализ и исследование операций. 2008. Т.15. №3. С.11-21. РИНЦ
О подвижных множествах в двоичном гиперкубе
Дискретный анализ и исследование операций. 2008. Т.15. №3. С.11-21. РИНЦ
Dates:
Submitted: | Dec 27, 2007 |
Published online: | May 24, 2009 |
Identifiers:
Scopus: | 2-s2.0-66149129563 |
Elibrary: | 13604120 |
OpenAlex: | W2080083877 |
Citing:
DB | Citing |
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OpenAlex | 2 |