X-Git-Url: https://git.distorted.org.uk/~mdw/catacomb/blobdiff_plain/8276a9c565bc29afbc6cc120dfde0801c06c2bbd..HEAD:/pub/x448.h diff --git a/pub/x448.h b/pub/x448.h index 4561d41a..42c9fb93 100644 --- a/pub/x448.h +++ b/pub/x448.h @@ -43,6 +43,18 @@ * described in Hamburg's paper, since it doesn't involve the `Decaf' * cofactor elimination procedure. Indeed, it looks very much like X25519 * with Hamburg's curve slotted in in place of Bernstein's. + * + * The @x448@ function essentially performs incompatible cofactor + * multiplication on the elliptic curve %$E(k)$% containing points %$(x, y)$% + * in %$\proj^2(k)$% satisfying the Montgomery-form equation + * + * %$y^3 = x^3 + 156326 x^2 + x$% , + * + * where $k = \gf{p}$, with $p = \phi^2 - \phi - 1$%, where + * %$\phi = 2^{224}$%. The curve has %$n = (p + 1) + {}$% + * %$28312320572429821613362531907042076847709625476988141958474579766324$% + * points; this is four times a prime %$\ell$%. The points with + * %$x$%-coordinate 5 have order %$\ell$%. */ /*----- Header files ------------------------------------------------------*/