Cryptographic hash functions are an important tool in cryptography for applications such as digital signature of messages, message authentication, and key derivation. This paper presents a new cryptographic keyed hash function design, named Concrete Hash function Algorithm, CHA-128, which has some difference from the popular hash function designs and used for ensuring integrity of messages to a higher degree to suit the fast growing network applications. The function structure is designed permit a wide variety of implementation tradeoffs. Also CHA is proposed as very smooth 128 bit hash function algorithm, which is designed according to permit a wide variety of computing implementation tradeoffs. By very smooth, it means that the smoothness bound is multiple fixed sequential functions. A valuable comparison between the software
performance of CHA-128 design and some popular hash function algorithms designs is performed.