Отрывок: t t D t t t D t t tν νω α ν ω α ω α ν ω α ∈Ω ∈Ω = ϕ ϕ ϕ = ϕ ϕ ϕ∑ ∑ (11) The expressions (10)–(11) can be compactly written on the operator language { } { } { } { } 1 1 1 1 diag ( ) , diag ( ) , diag ( ) , diag ( ) . x tT T D t D t τ − τ − ω ω ν − ν − ω ν ω ν = ⋅ ϕ τ ⋅ = ⋅ ϕ τ ⋅ = ⋅ ϕ ⋅ = ⋅ ϕ ⋅ F F F F F F F F ...
Полная запись метаданных
Поле DC Значение Язык
dc.contributor.authorLabunets, V.G.-
dc.contributor.authorOsthaimer, E.-
dc.date.accessioned2018-05-22 10:04:59-
dc.date.available2018-05-22 10:04:59-
dc.date.issued2018-
dc.identifierDspace\SGAU\20180518\69649ru
dc.identifier.citationLabunets V.G. Linear codes invariant with respect to generalized shift operators / Labunets V.G., Osthaimer E.// Сборник трудов IV международной конференции и молодежной школы «Информационные технологии и нанотехнологии» (ИТНТ-2018) - Самара: Новая техника, 2018. - С.2659-2667ru
dc.identifier.urihttp://repo.ssau.ru/handle/Informacionnye-tehnologii-i-nanotehnologii/Linear-codes-invariant-with-respect-to-generalized-shift-operators-69649-
dc.description.abstractThe purpose of this paper is to introduce new linear codes with generalized symmetry. We extend cyclic and group codes in the following way. We introduce codes, invariant with respect to a family of generalized shift operators (GSO). In particle case when this family is a group (cyclic or Abelian), these codes are ordinary cyclic and group codes. They are invariant with respect to this group. We deal with GSO-invariant codes with fast code and encode procedures based on fast generalized Fouriertransforms. The hope is that these more general structures will lead to larger classes of useful codes “good” properties.ru
dc.description.sponsorshipThis work was supported by grants the RFBR № 17-07-00886and by Ural State Forest Engineering’s Center of Excellence in”Quantum and Classical Information Technologies for Remote Sensing Systems”.ru
dc.language.isoenru
dc.publisherНовая техникаru
dc.subjectlinear codesru
dc.subjectLevitan-Delsarte algebras of generalized shift operatorsru
dc.subjectorthogonal Fourier-Galois transformsru
dc.titleLinear codes invariant with respect to generalized shift operatorsru
dc.typeArticleru
dc.textpartt t D t t t D t t tν νω α ν ω α ω α ν ω α ∈Ω ∈Ω = ϕ ϕ ϕ = ϕ ϕ ϕ∑ ∑ (11) The expressions (10)–(11) can be compactly written on the operator language { } { } { } { } 1 1 1 1 diag ( ) , diag ( ) , diag ( ) , diag ( ) . x tT T D t D t τ − τ − ω ω ν − ν − ω ν ω ν = ⋅ ϕ τ ⋅ = ⋅ ϕ τ ⋅ = ⋅ ϕ ⋅ = ⋅ ϕ ⋅ F F F F F F F F ...-
Располагается в коллекциях: Информационные технологии и нанотехнологии

Файлы этого ресурса:
Файл Описание Размер Формат  
paper_358.pdfосновная статья211.01 kBAdobe PDFПросмотреть/Открыть
Показать базовое описание ресурса Просмотр статистики
Поделиться:



Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.