Implementing hash functions to run on multi-core computers will reduce its running time. We aim to implement Cayley, SHA-256 and SHA-512 hash functions to run on multicore computers and compare their performances. Cayley hash compresses the input message by hashing one bit at a time using composition of linear equations. SHA-256 and SHA-512 work on message blocks and produce fixed length digest...

Hash functions are widely used in cryptography. Recent breakthroughs against the standard SHA-1 prompted NIST to launch a competition for a new secure hash algorithm, SHA-3 [1]. Provably secure hash functions, that is functions whose security reduces to a simply-stated, supposedly hard mathematical problem, are widely believed to be much too slow for the NIST competition. In this paper, we disc...

Using the idea behind the Tillich-Zémor hash function, we propose a new hash function. Our hash function is parallelizable and its collision resistance is implied by a hardness assumption on a mathematical problem. Also, it is secure against the known attacks. It is the most secure variant of the Tillich-Zémor hash function until now.

Cayley hash functions are based on a simple idea of using a pair of (semi)group elements, A and B, to hash the 0 and 1 bit, respectively, and then to hash an arbitrary bit string in the natural way, by using multiplication of elements in the (semi)group. In this paper, we focus on hashing with linear functions of one variable over Fp. The corresponding hash functions are very efficient, in part...

In this paper, we present some attacks on GAGE, InGAGE, and CiliPadi which are candidates of the first round of the NIST-LWC competition. GAGE and InGAGE are lightweight sponge based hash function and Authenticated Encryption with Associated Data (AEAD), respectively and support different sets of parameters. The length of hash, key, and tag are always 256, 128, and 128 bits, respec...