GEOMETRIC APPROACH TO ADDITION OF DIVISORS OF A HYPERELLIPTIC CURVE

Authors

  • A. V. Nelasaya Zaporizhzhya National Technical University, Ukraine
  • V. I. Dolgov Kharkiv National University of Radio Electronics, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2007-2-9

Abstract

Тhe conceptual means оf divisors hyperelliptic curves theory are considered. The examples оf geometrical rule for adding оf various kind divisors are given.

Author Biographies

A. V. Nelasaya, Zaporizhzhya National Technical University

Senior Lecturer

V. I. Dolgov, Kharkiv National University of Radio Electronics

Doctor of Technical Sciences, Professor

References

А. Menezes, Y. Wu, R. Zuccherato. Аn Elementary lntroduction to Hyperelliptic Curves. — Springer-Verlag, Berlin, Germany, 1998. — 31 р.

Т. Wollinger. Software and Hardware lmplementation of Hyperelliptic Curve Cryptosystem. Dissertation for the Degree of Doctor-lngenieur. — Bochum, Germany, 2004. 201 р.

G. Korn, T. Korn. Spravochnik po matematike. dlya nauchnykh rabotnikov i inzhenerov. — M., 1974. — 832 s.

D. G. Cantor. Computing in Jacoian of а Hyperelliptic Curve / / Mathematics of Computation. — Volume 48 (177), January. - 1987. - Р. 95-101.

D. Mumford. Tata Lectures оп Theta II // Prog. Math. Volume 43. - Birkhauser, 1984. - Р. 61-75.

Ye. Furukava, M. Kawazoe, T. Takahashi. Counting Points for Hyperelliptic Curves of type y2 = x5 + ax over Finite Prime Fields, [Elektronnyy resurs], (14 r), 2004 Rezhim dostupa, http://eprint.iacr.org/181.pdf, svobodnyy.

Nelasaya A. V., Dolgov V. I., Zaytsev S. A. Opredeleniye poryadka gruppy divizorov giperellipticheskoy krivoy / / Mezhdunarodnaya nauchno-tekhnicheskaya konferentsiya «Komp'yuternoye modelirovaniye i intellektual'nyye sistemy» (KMIS—2OO7), Zaporozh'ye, ZNTU, 26— 27 marta 2007. - S. 173-177.

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Published

2024-11-17

How to Cite

Nelasaya, A. V., & Dolgov, V. I. (2024). GEOMETRIC APPROACH TO ADDITION OF DIVISORS OF A HYPERELLIPTIC CURVE. Radio Electronics, Computer Science, Control, (2), 44. https://doi.org/10.15588/1607-3274-2007-2-9

Issue

No. 2 (2007): Radio Electronics, Computer Science, Control

Section

Mathematical and computer modelling

License

Copyright (c) 2014 Г. В. Неласа, В. І. Долгов

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