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A Cryptographic Proof of Regularity Lemmas
Regularity lemmas Boosting Low-complexity approximations
2016/12/8
In this work we present a unified proof for the Strong and
Weak Regularity Lemma, based on the cryptographic technique called
low-complexity approximations. In short, both problems reduce to a task
...
On the Regularity of Lossy RSA: Improved Bounds and Applications to Padding-Based Encryption
PKCS Phi-Hiding Regularity
2016/1/5
We provide new bounds on how close to regular the map x |--> x^e is on arithmetic progressions in Z_N, assuming e | Phi(N) and N is composite. We use these bounds to analyze the security of natural cr...
In this paper, we prove a closed formula for the degree of regularity of the family of HFE- (HFE Minus) multivariate public key cryptosystems over a finite field of size $q$. The degree of regularity ...
On the Randomness and Regularity of Reduced EDON-R Compression Function
hash function randomness regularity balance
2009/6/15
EDON-R is one of the candidate hash functions for the ongoing NIST competition for the next cryptographic hash standard
called SHA-3. Its construction is based on algebraic properties of non-commutat...