Anonymous ID: 23092e May 8, 2018, 12:58 p.m. No.1339882   🗄️.is 🔗kun   >>0489

>>1339222 (LB)

 

>https://paillier.daylightingsociety.org/about

 

I think your on to something here

 

We believe, however, that the cryptographic research had unnoticeably witnessed

the progressive emergence of a third class of trapdoor techniques: firstly

identified as trapdoors in the discrete log, they actually arise from the common

algebraic setting of high degree residuosity classes. After Goldwasser-Micali’s

scheme [9] based on quadratic residuosity, Benaloh’s homomorphic encryption

function, originally designed for electronic voting and relying on prime residuosity,

prefigured the first attempt to exploit the plain resources of this theory. Later,

Naccache and Stern [16], and independently Okamoto and Uchiyama [19] significantly

extended the encryption rate by investigating two different approaches:

residuosity of smooth degree in Z

pq and residuosity of prime degree p in Z

p

2q

respectively. In the meantime, other schemes like Vanstone-Zuccherato [28] on

elliptic curves or Park-Won [20] explored the use of high degree residues in other

settings.

In this paper, we propose a new trapdoor mechanism belonging to this family.

By contrast to prime residuosity, our technique is based on composite residuosity

classes i.e. of degree set to a hard-to-factor number n = pq where p and q are two

large prime numbers. Easy to understand, we believe that our trapdoor provides

a new cryptographic building-block for conceiving public-key cryptosystems.

In sections 2 and 3, we introduce our number-theoretic framework and investigate

in this context a new computational problem (the Composite Residuosity

Class Problem), which intractability will be our main assumption. Further, we

derive three homomorphic encryption schemes based on this problem, including

a new trapdoor permutation. Probabilistic schemes will be proven semantically

secure under appropriate intractability assumptions. All our polynomial reductions

are simple and stand in the standard model.

Anonymous ID: 23092e May 8, 2018, 1:18 p.m. No.1340097   🗄️.is 🔗kun

>>1340014

 

Arming rebels next to your border is called nothing? not that I care (I really dont) but should they sit back and wait for them to do something ?

That would be pretty Obama level stupid