This paper introduces a digit-level serial-in parallelout multiplier using redundant representation for a class of finite fields which uses a Galio field multiplication (GF 2^8) it uses the characteristic two finite field with 256 elements which can also be called as Rijndael’s it uses the reducing polynomial for multiplication x^8+x^4+x^3+x+1.Here we are using not only the GF method we are also using the cyclotomic field which means the first and last binary bits of 4bit have the same binary bit. Mainly we are using here finite field multiplication to reduce the redundancy.