کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598147 1336262 2006 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Minimal degree liftings in characteristic 2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Minimal degree liftings in characteristic 2
چکیده انگلیسی
In this paper we analyze liftings of hyperelliptic curves over perfect fields in characteristic 2 to curves over rings of Witt vectors. This theory can be applied to construct error-correcting codes; lifts of points with minimal degrees are likely to yield the best codes, and these are the main focus of the paper. We find upper and lower bounds for their degrees, give conditions to achieve the lower bounds and analyze the existence of lifts of the Frobenius. Finally, we exhibit explicit computations for genus 2 and show codes obtained using this theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 207, Issue 3, November–December 2006, Pages 631-673
نویسندگان
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