## Result of ECDLP by learning ρ method

2018/10/01 Yasunori Ushiro (Kanagawa University)

The learning ρ method and the ρ method show the result of decrypting elliptic curve cryptography

The solution time by both algorithm for 44 pieces of 60-bits encryption (about 70 bits) are shown.

One core of Intel Core i7 6700k (4 Ghz) is used for calculation.

In multi-precision calculation, the learning ρ method used self-made function and ρ method used gnu gmp.

Data is five sets of A, B, C, D and E. Since the ρ method takes long time, only A is measured.

The learning ρ method is about 30 seconds, the ρ method is about 10 hours.

The learning ρ method is about 1200 times faster than the ρ method.

### 1. Result of learning ρ method

Three out of five case are within 30 seconds. The learning information is 464 MB.

(1) Data-A

(2) Data-B

(3) Data-C

(4) Data-D

(5) Data-E

### 2. Result of ρ method

Over 10 hours.

(1) Data-A