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We present a scheme for secure and privacy-preserving communication in hybrid ad hoc networks. Our scheme enables users to secure communication and to protect their anonymity and location privacy. Our approach is based on frequently changing node pseudonym ...
At Crypto 2004, van Dijk and Woodruff introduced a new way of using the algebraic tori Tn in cryptography, and obtained an asymptotically optimal n/ϕ(n) savings in bandwidth and storage for a number of cryptographic applications. However, the compu ...
Since the late 70’s, several public key cryptographic algorithms have been proposed. Diffie and Hellman first came with this concept in 1976. Since that time, several other public key cryptosystems were invented, such as the well known RSA, ElGamal or Rabin c ...
Since the discovery of the utility of the numbers, the human being tried to differentiate them. We decide between them according to whether they are even or odd. Or, according to the fact that they are prime or composite. A natural number n >1 is called a ...
We introduce VSH, very smooth hash, a new S-bit hash function that is provably collision-resistant assuming the hardness of finding nontrivial modular square roots of very smooth numbers modulo an S-bit composite. By very smooth, we mean that the smoothnes ...
We describe how we reached a new factoring milestone by completing the first special number field sieve factorization of a number having more than 1024 bits, namely the Mersenne number 21039 -1. Although this factorization is orders of magnitude ...
We take an approach toward Counting the number of integers n for which the curve (n),: y(2) = x(3) - n(2)x has 2-Selmer groups of a given size. This question was also discussed in a pair of papers by Roger Heath-Brown. In contrast to earlier work, our anal ...
We consider several "provably secure" hash functions that compute simple sums in a well chosen group (G,*). Security properties of such functions provably translate in a natural way to computational problems in G that are simple to define and possibly also ...
This paper reports on the factorization of the 768-bit number RSA-768 by the number field sieve factoring method and discusses some implications for RSA. ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010
Cryptographic primitives are the basic components of any cryptographic tool. Block ciphers, stream ciphers and hash functions are the fundamental primitives of symmetric cryptography. In symmetric cryptography, the communicating parties perform essentially ...
