QHF: A quaternion based a Multidimensional Hash function

Abstract

This paper proposes a new method for constructing a multidimensional hash function based on quaternion presentation called QUATERNION hash function QHF. The input data is divided into a sequence of blocks and each block is split into four parts which are mathematically formed as quaternion's parameters. A series of data and quaternion multiplication's processing are implemented to compose a hash function kernel. Each step of data-quaternion processing is carefully scrutinized data's block to maneuver a succession of zeros which might case a possible attack. Computer based simulation is conducted to compute hash values from input quaternion data. Quaternion has non-commutative feature among its multiplication's parameters, therefore, QHF is capable to resist hash collision. Furthermore, numerical examples are given to comprehend the proposed QHF.data- quaternion processing