A comparison between the secp256r1 and the koblitz secp256k1 bitcoin curves

Bitcoin uses elliptic curve cryptography for its keys and signatures, but the specific secp256k1 curve used is rather unusual. The ECDSA keys used to generate Bitcoin addresses and sign transactions are derived from some specific parameters. Due to this characteristic, several questions come up conc...

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Main Authors: Houria, Azine (Author), Mohamed Abdelkader, Bencherif (Author), Abderezzak, Guessoum (Author)
Other Authors: Bencherif Mohamed Abdelkader ,College of Computer and Information Sciences « Center of Smart Robotics ResearchKing » Saud University,Guessoum Abderezzak,Department of Electronics «LATSI Signal Processing and Imaging Laboratory» Blida1 University Algeria (Contributor)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2019-03-01.
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042 |a dc 
100 1 0 |a Houria, Azine  |e author 
100 1 0 |a Bencherif Mohamed Abdelkader ,College of Computer and Information Sciences « Center of Smart Robotics ResearchKing » Saud University,Guessoum Abderezzak,Department of Electronics «LATSI Signal Processing and Imaging Laboratory» Blida1 University Algeria  |e contributor 
700 1 0 |a Mohamed Abdelkader, Bencherif  |e author 
700 1 0 |a Abderezzak, Guessoum  |e author 
245 0 0 |a A comparison between the secp256r1 and the koblitz secp256k1 bitcoin curves 
260 |b Institute of Advanced Engineering and Science,   |c 2019-03-01. 
500 |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/15610 
520 |a Bitcoin uses elliptic curve cryptography for its keys and signatures, but the specific secp256k1 curve used is rather unusual. The ECDSA keys used to generate Bitcoin addresses and sign transactions are derived from some specific parameters. Due to this characteristic, several questions come up concerning Satoshi's choice of this curve rather than that of the NIST standard secp256r1 curve. Former President Dan Brown's address to Bitcoin users on the Bitcoin talk.org online forum concerning the use of secp256k1 in Bitcoin of SECG showed his surprise to see someone uses SECG secp256k1 instead of secp256r1 of NIST.In this article, we will analyze the random secp256r1 curve and the Koblitz Secp256k1 curve (parameters, equation, automorphism...), by giving the strengths and weaknesses of each one of them, in order to justify the choice of Bitcoin's creator, and then we will tackle the mining using the new graphic cards. 
540 |a Copyright (c) 2018 Institute of Advanced Engineering and Science 
540 |a http://creativecommons.org/licenses/by-nc/4.0 
546 |a eng 
690 |a scopus 
690 |a Elliptic curve;Secp256r1; Secp256k1 ; Koblitz curve ; Pollard algorithm ;Random seed ;ANSI ;X9 ; NIST ;SECG ; GLV; Bitcoin ; Mining ; PCU,GPU ; ASIC 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |2 local 
786 0 |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 13, No 3: March 2019; 910-918 
786 0 |n 2502-4760 
786 0 |n 2502-4752 
786 0 |n 10.11591/ijeecs.v13.i3 
787 0 |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/15610/10734 
856 4 1 |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/15610/10734  |z Get fulltext