Functions which operate on ℱLp(T),1< p <2

A P 2 P Single Sign - On which remains Single on Smart Spaces ? Enrique

Most single sign-on (SSO) schemes do not handle well scenarios where users work simultaneously with more than one device because their agents do not cooperate. In these scenarios, most SSO systems are really per-machine single sign-on. Besides, most authentication services usually depend on centralized services, may be hard to administer, and do not work well for highly dynamic and partitionabl...

2 00 4 On primes p for which d divides ord p ( g )

Let Ng(d) be the set of primes p such that the order of g modulo p, ordp(g), is divisible by a prescribed integer d. Wiertelak showed that this set has a natural density, δg(d), with δg(d) ∈ Q>0. Let Ng(d)(x) be the number of primes p ≤ x that are in Ng(d). A simple identity for Ng(d)(x) is established. It is used to derive a more compact expression for δg(d) than known hitherto.

Operate on Speech Acts

Functions which are PN on infinitely many extensions of 𝔽p, p odd

Jedlicka, Hernando and McGuire have proved that Gold and Kasami functions are the only power mappings which are APN on infinitely many extensions of F2. For p an odd prime, we prove that the only power mappings x 7→ x such that m ≡ 1 mod p which are PN on infinitely many extensions of of Fp are those such that m = 1 + p , l positive integer. As Jedlicka, Hernando and McGuire, we prove that (x+1...

Large-scale search for genes on which positive selection may operate.

We conducted a systematic search for the candidate genes on which positive selection may operate, on the premise that for such genes the number of nonsynonymous substitution is expected to be larger than that of synonymous substitutions when the nucleotide sequences of genes under investigation are compared with each other. By obtaining 3,595 groups of homologous sequences from the DDBJ, EMBL, ...