Computing square roots and solve equations of ECC over galois fields

Date
2017-12-23
Authors
Rahma, Mohammed Kadhim
Hlukhov, Valeriy
Journal Title
Journal ISSN
Volume Title
Publisher
Видавництво Львівської політехніки
Lviv Polytechnic Publishing House
Abstract
Computing square roots in finite fields are important computational problems with significant applications to cryptography. Therefore, in this paper, we introduced some methods for finding square roots. Our proposed method calculates the Square root using multiplier over. The proposed method is competitive compared with other existing methods. It is introduced development to decrease of complexity of arithmetic units. In addition, we approach a novel technique for Computation square roots presented using Half_even_odd unit mixed with multiplier and adder. One approach of Square Root presented using the same multiplier for arithmetic units of ECC. Thus, we goes to gets on reduced complexity for arithmetic units.
Description
Keywords
Galois Fields , Elliptical curve cryptography (ECC) , square roots , Computation the trace , Computation square roots
Citation
Rahma M. K. Computing square roots and solve equations of ECC over galois fields / Mohammed Kadhim Rahma, Valeriy Hlukhov // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 437–440. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)).