Generation Of Possible a And b Values Sample Clauses

Generation Of Possible a And b Values. For the elliptic curve equation y2 mod p= x3 + ax + b mod p , the coefficients should satisfy the condition, 4a3+27b2 0. if the value of p is set to 23, a and b will take the value from [0-22]. The possible a and b values are, (0 , 1 ) (0 , 2 ) (0 , 3 ) (0 , 4 ) (0 , 5 ) (0 , 6 ) (0 , 7 ) (0 , 8 ) (0 , 9 ) (0 , 10 ) (0 , 11 ) (0 , 12 ) (0 , 13 ) (0 , 14 ) (0 , 15 ) (0 , 16 ) (0 , 17 ) (0 , 18 ) (0 , 19 ) (0 ,20 ) (0 , 21 ) (0 , 22 ) (1 , 0 ) (1 , 1 ) (1 , 2 ) (1 , 3 ) (1 , 4 ) (1 , 5 ) (1 , 6 ) (1 , 7 ) (1 , 8 ) (1 , 9 ) (1 , 10 ) (1 , 11 ) (1 , 12 ) (1 , 13 ) (1 , 14 ) (1 , 15 ) (1 , 16 ) (1 , 17) (1 , 18 ) (1 , 19 ) (1 , 20 ) (1 , 21 ) (1 , 22 ) (2 , 0 ) (2 , 1 ) (2 , 2 ) (2 , 3 ) (2 , 4 ) (2 , 5 ) (2 , 6 ) (2 , 7 ) (2 , 8 ) (2 , 9 ) (2 , 10 ) (2 , 11 ) (2 , 12 ) (2 , 13 ) (2 , 14 ) (2 , 15 ) (2 , 16 ) (2 , 17 ) (2 , 18 ) (2 , 19 ) (2 , 20 ) (2 , 21 ) (2 , 22 ) (3 , 0 ) (3 , 1 ) (3 , 2 ) (3 , 3 ) (3 , 4 ) (3 , 5 ) (3 , 6 ) (3 , 7 ) (3 , 8 ) (3 , 9 ) (3 , 10 ) (3 , 11 ) (3 , 12 ) (3 , 13 ) (3 , 14 ) (3 , 15 ) (3 , 16 ) (3 , 17 ) (3 , 18 ) (3 , 19 ) (3 , 20 ) (3 , 21 ) (3 , 22 ) (4 , 0 ) (4 , 1 ) (4 , 2 ) (4 , 3 ) (4 , 4 ) (4 , 5 ) (4 , 6 ) (4 , 7 ) (4 , 8 ) (4 , 9 ) (4 , 10 ) (4 , 11 ) (4 , 12 ) (4 , 13 ) (4 , 14 ) (4 , 15 ) (4 , 16 ) (4 , 17 ) (4 , 18 ) (4 , 19 ) , 20 ) (4 , 21 ) (4 , 22 ) (5 , 0 ) (5 , 1 ) (5 , 2 ) (5 , 3 ) (5 , 4 ) (5 , 5 ) (5 , 7 ) (4 (5 , 8 ) (5 , 9 ) (5 , 10 ) (5 , 11 ) (5 , 12 ) (5 , 13 ) (5 , 14 ) (5 , 15 ) (5 , 16 ) (5 , 18 ) (5 , 19 ) (5 , 20 ) (5 , 21 ) (5 , 22 ) Totally 135 values are obtained. Any one of the combination can be taken to generate elliptic curve.
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