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National Research University Higher School of EconomicsStudent ThesesOn Rationality of Kummer Surfaces over the Field of Two Elements in the Context of the Discrete Logarithm Problem

Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Dmitrii Koshelev
On Rationality of Kummer Surfaces over the Field of Two Elements in the Context of the Discrete Logarithm Problem
Mathematics and Mathematical Physics
(Master’s programme)
9
2017
В работе найдено конструктивное доказательство рациональности над полем из двух элементов куммеровой поверхности якобианов двух некоторых гиперэллиптических кривых рода 2. Это позволило получить оригинальный эффективный метод сжатия-разжатия точек данных якобианов, который может быть использован в криптографии.

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