Editor's note: See the original article on PurpleAlientPlanet. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems. Since I often have to ...
We show that if E is an elliptic curve over Q with a Q-rational isogeny of degree 7, then the image of the 7-adic Galois representation attached to E is as large as allowed by the isogeny, except for ...
As numbers go, 1729, the Hardy-Ramanujan number, is not new to math enthusiasts. But now, this number has triggered a major discovery — on Ramanujan and the theory of what are known as elliptical ...
R. P. Conceic˜ao, C. Hall & D. Ulmer, “Explicit points on the Legendre curve II”, Math. Res. Lett. 21 (2014), no. 2, p. 261-280. C. Davis & T. Occhipinti ...
According to one of the world’s leading cryptographers, Bitcoin’s elliptic curve could have a secret backdoor, invalidating all underlying security. A Bitcoin public key is created by applying ...
A bounty of $12,288 has been announced for the first person to crack the NIST elliptic curves seeds and discover the original phrases that were hashed to generate them. The bounty will be tripled to ...
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