کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
420493 683947 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Applications to cryptography of twisting commutative algebraic groups
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Applications to cryptography of twisting commutative algebraic groups
چکیده انگلیسی

We give an overview on twisting commutative algebraic groups and applications to discrete log-based cryptography. We explain how discrete log-based cryptography over extension fields can be reduced to cryptography in primitive subgroups. Primitive subgroups in turn are part of a general theory of tensor products of commutative algebraic groups and Galois modules (or twists of commutative algebraic groups), and this underlying mathematical theory can be used to shed light on discrete log-based cryptosystems. We give a number of concrete examples, to illustrate the definitions and results in an explicit way.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 156, Issue 16, 6 September 2008, Pages 3122–3138
نویسندگان
,