Elliptic Curve Digital Signature Algorithm Challenges and Development Stages
Wageda El Sobky1, Sara Hamdy2, Mustafa Hussien Mohamed3

1Mustafa Hussien Mohamed*, Computer Department, MTC, Cairo, Egypt.
2Wageda I. El Sobky, Math Department, Benha University, Benha, Egypt. 
3Sara Hamdy, Electric Department, Benha University, Benha, Egypt. 
Manuscript received on August 14, 2021. | Revised Manuscript received on August 21, 2021. | Manuscript published on August 30, 2021. | PP: 121-128 | Volume-10, Issue-10, August 2021 | Retrieval Number: 100.1/ijitee.J943308101021 | DOI: 10.35940/ijitee.J9433.08101021
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: This paper try to introduce the advantages and disadvantages of the Elliptical Curve Digital Signature Algorithm that could be put in consideration for future usage through applications and future scalability depending on improvement levels of elliptical curve Digital Signature Algorithm starting from The elliptical Curve Cryptography that it was extracted from till showing, elliptical curve Digital Signature Algorithm’s security power, performance quality, memory usage rate, applications, challenges, and last improvement. To help in the future in evading some problems like forgery, worse usage of memory because of big sized keys that cause the need for high processing power that reduces the performance quality, and considering it as a level in a new algorithm to reduce the tries of attacking and hacking specific messages between specific parties, after explaining the Elliptical Curve Cryptography and how the scientists reached from the Elliptical Curve Cryptography to the Elliptical Curve Digital Signature Algorithm and why they developed Elliptical Curve Digital Signature Algorithm, the paper will explain its advantages and disadvantages of the Elliptical Curve Digital Signature Algorithm, then the paper will explain what is the differences happen in a new type of the Elliptical Curve Digital Signature Algorithm called Multiple Elliptical Curve Digital Signature Algorithm, trying to show what is the improvement stages was happened in the Elliptical Curve Digital Signature Algorithm, how that affected the nowadays applications, and how that participated in improving the security performance and increasing the security strength, there fore what was included in the paper could be used as a nucleus for more and more improving of the Elliptical Curve Digital Signature Algorithm, and evading its defects.
Keywords: Cryptography of the Elliptical Curve(ECC), Algorithm of Digital Signature with Elliptical Curve (ECDSA),Algorithm of Digital Signature with Multiple elliptical curves (MECDSA), Signature Digitalized(DS), Algorithm of Signature Digitalized (DSA), Rivest–Shamir–Adleman Digital Signature(RSADS), Rivest–Shamir–Adleman(RSA).