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Аддитивно гомоморфные шифры в ÐºÐ¾Ð»ÑŒÑ†Ð°Ñ ÐºÐ»Ð°ÑÑÐ¾Ð² вычетов

магистерская диссертация
descriptionPublicationkeyboard_double_arrow_right Other literature type 01 Jan 2017 Russian Publisher:Санкт-Петербургский политехнический университет Петра Великого

doi: 10.18720/spbpu/2/v17-3303

Аддитивно гомоморфные шифры в ÐºÐ¾Ð»ÑŒÑ†Ð°Ñ ÐºÐ»Ð°ÑÑÐ¾Ð² вычетов

Abstract

Построено инвариантное описание аддитивно гомоморфной криптосистемы с открытым ключом Pascal Paillier в терминах кольца классов вычетов с доказательством основных свойств шифра и построением основных изоморфизмов. Определены основные алгебраические структуры (кольца, группы, подгруппы) задающие алгоритм шифрования. Определена важная роль особого идеала кольца классов вычетов, называемого радикалом, в построении шифров, подобных Pascal Paillier. Приведен обзор существующих гомоморфных криптосистем. Приведен обзор применений криптосистемы Pascal Paillier. Приведена программная реализация шифра и реализация методов применения шифра.

Keywords

Группы (мат.), асимметричное шифрование, Криптография, Информация, гомоморфное шифрование

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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