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Vulnerability of dedicated hash functions to various attacks has made the task of designing hash function much more challenging. This provides one a strong motivation to design a new cryptographic hash function viz. HF-hash. This is a hash function, whose compression function is designed by using first 32 polynomials of HFE Challenge-1 with 64 variables by forcing remaining 16 variables as zero. HF-hash gives 256 bits message digest and is as efficient as SHA-256. It is secure against the differential attack proposed by Chabaud and Joux in as well as by Wang et. al. in applied to SHA-0 and SHA-1. The authors have also compared the efficiency of their HF-hash with SHA-256.
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