Rahma, Mohammed KadhimHlukhov, Valeriy2018-04-122018-04-122017-12-232017-12-23Rahma 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)).978-966-941-108-2https://ena.lpnu.ua/handle/ntb/40457Computing 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.437-440enGalois FieldsElliptical curve cryptography (ECC)square rootsComputation the traceComputation square rootsComputing square roots and solve equations of ECC over galois fieldsConference Abstract© Національний університет “Львівська політехніка”, 20174Rahma 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)).