کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5771538 | 1630354 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Distorting the volcano
ترجمه فارسی عنوان
خراب کردن آتشفشان
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Volcanoes of â-isogenies of elliptic curves are a special case of graphs with a cycle called crater. In this paper, given an elliptic curve E of a volcano of â-isogenies, we present a condition over an endomorphism Ï of E in order to determine which â-isogenies of E are non-descending. The endomorphism Ï is defined as the crater cycle of an m-volcano where E is located, with mâ â. The condition is feasible when Ï is a distortion map for a subgroup of order â of E. We also provide some relationships among the crater sizes of volcanoes of m-isogenies whose elliptic curves belong to a volcano of â-isogenies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 49, January 2018, Pages 108-125
Journal: Finite Fields and Their Applications - Volume 49, January 2018, Pages 108-125
نویسندگان
Mireille Fouquet, Josep M. Miret, Javier Valera,