Quote from: Supercomputing on January 27, 2015, 06:24:51 AM

Quote from: Videlicet on January 27, 2015, 05:35:17 AM

Quote from: Supercomputing on January 26, 2015, 09:32:37 PM

Quote from: Videlicet on January 26, 2015, 07:46:21 PM

Supercomputing,

You seem to be mistaken: Source
Let us summarize: in the prime case the domain parameters are (p,a,b,G,n,h) and in the binary case they are (m,f,a,b,G,n,h)

The prime field contains a prime in the domain parameters, but the binary does not. Prime based curves use p as the prime generating the security as you stated, Binary curves use m and f. Coinshield uses sect571r1 which is a NIST/SECG curve over a 571 bit binary field

For sect571r1 domain parameters (m,f,a,b,G,n,h), n is a large prime.

Please post your sources, otherwise this is conjecture.

Thank You,
Viz.

Number theory (IFP, ECDLP, IQF) is my area of research.

NIST-B571

http://web.mit.edu/Ghudson/dev/third/mozilla/security/nss/lib/freebl/ecl/ecl-curve.h

Base point subgroup order (hex):
03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF\
FFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B18\
6823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47

Good information - Thanks Bud

Viz.