Method and apparatus for dividing long polynomial expression in finite field

Abstract

A method and apparatus for dividing a long polynomial expression in a finite field. Elements in a dividend polynomial are grouped into a plurality of groups and combined according to a superposition of the finite field. Then, a group-based parallel processing operation is performed with respect to the combined results on the basis of a lookahead technique and a partial-division process to sequentially remove the groups up to the last one for inter-symbol division in the finite field. A first group storage block stores the first one of the groups and an intermediate group storage block adds partial-remainders from the previous and current groups to form a new intermediate group. A remainder generation block adds partial-remainders from the previous and last groups to generate the overall remainder. A partial-quotient generation block generates partial-quotients in response to output data from the first group storage block and intermediate group storage block. A partial-remainder generation block generates partial-remainders in response to input data to the partial-quotient generation block.