With the succumbing of various Hash functions to collision attacks, there have been serious research efforts to design new Hash functions which are robust against various contemporary attacks. MAYHAM is one such hash function that has been designed keeping in view the cryptographic properties needed yet resistant to all the publically known attacks. MAYHAM is designed as a simple and efficient hash function as compared to other dedicated hash functions. Main operations involved in MAYHAM’s hash computation include S-box, MDS Matrix multiplication, data mixing, XOR, addition and interleaving. MAYHAM supports parallel processing in its compression function and can be efficiently implemented by using lookup tables.