Abstract. A t out of n threshold scheme is such that shares are distributed to n participants so that any set of t participants can compute the secret, whereas any set of less than...
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
Let g be an element of prime order p in an abelian group and let Zp. We show that if g, g , and gd are given for a positive divisor d of p - 1, the secret key can be computed de...
The black-box field (BBF) extraction problem is, for a given field F, to determine a secret field element hidden in a black-box which allows to add and multiply values in F in ...
cting programs and point-free abstraction [2]. In order to automatically generate the fast running code there was the need to use matrix product as the basic matrix composition ope...