A Comparative Analysis of Signature Schemes in a New Approach of Variant on ECDSA

A Survey on Elliptic Curve Digital Signature Algorithm and its Variants

“…Elliptic Curve Digital Signature Algorithm [6] Elliptic curve digital signature algorithm consists of 3 phases: 1. Key generation, 2.…”

“…In this scheme [6], [7] two levels of digital signature are implemented by using two secrets k1 and k2. Here d cannot be determined even if the same secret (k1, k2) is repeated.…”

“…(1) SELECT Select two integers k1 and k2 such that 1 ≤ k1,k2 ≤ n-1 (2) k1g ← (x 1 , y 1 ), k2g ← (x 2 ,y 2 ) where x 1 ,x 2 ,y 1 ,y 2 are integers (3) r 1 ← x1 mod n; r2 ← x2 mod n If r1,r2 = 0, then go to step 1 (4) h ← H(M), where H is the SHA-512 (5) s ← k1 -1 (hk2 + d(r1 + r2)) mod n; If s = 0, then go to step1 (6) The signature of A for message M is the integer pair (r1, r2, s)…”

A new variant vision on ECDSA

“…A signature (a 1 ,…….a k ) on the message (x 1 ,….x k ) is verified as follows Verification Algorithm Ver k ((x 1 …x k ), (a 1 ….a k )) =true f(ai)= z i ,x i , 1≤i≤k. It is quite elegant, But it is not of practical use one problem is the size of the signature produces [15] [16].…”