Elliptic Curve Cryptography (ECC) - Public Key Cryptography w/ JAVA (08)

Elliptic Curve Cryptography (ECC) - Public Key Cryptography w/ JAVA (tutorial 08)

prototypeprj.com = zaneacademy.com (version 2.0)

00:05 demo prebuilt version of the application 01:05 find all points that satisfy elliptic curve equation 03:05 show cyclic behavior of a generator point in a small group 04:05 use double and add algorithm for fast point hopping 04:45 quick intro to elliptic curves 05:20 singular versus nonsingular elliptic curves 06:00 elliptic curve in cryptography 09:55 equations for elliptic curve point addition and doubling 12:02 what is a field 13:35 elliptic curve group operations 14:02 associativity proof for elliptic curve point addition 15:30 elliptic curve over prime fields 16:35 code the application 19:46 check if curve to be instantiated is singular 24:06 implement point addition and doubling 25:59 find all points that satisfy elliptic curve equation 28:00 check if 2 points are inverse of each other 29:15 explain elliptic curve order, subgroup size n, and cofactor h 32:53 implement double and add algorithm 35:09 test run the application 40:20 what does 'Points on elliptic curve + O have cyclic subgroups' mean 40:45 when do all points on an elliptic curve form a cyclic group ----------------------------------------------------------------------------------------------------------------------------- quickly download, import into Eclipse, and run zip file for 'Elliptic Curve Cryptography (ECC) - Public Key Cryptography w/ JAVA (tutorial 08)' ----------------------------------------------------------------------------------------------------------------------------- ----------------------------------------------------------------------------------------------------------- download source code @ https://sites.fastspring.com/prototypeprj/instant/2020 download source code @ https://sites.fastspring.com/prototypeprj/instant/all -----------------------------------------------------------------------------------------------------------