Apparatus for hybrid multiplier in GF(2m) and method thereof

Abstract

An apparatus and method for hybrid multiplication in GF(2m) by which trade-off between the area and the operation speed of an apparatus for a hybrid multiplier in finite field GF(2m) can be achieved are provided. The apparatus for hybrid multiplication includes: a matrix Z generation unit generating [m×k] matrix Z for performing a partial multiplication of a(x) and b(x), by dividing b(x) by k bits (k≦┌m/2┐), when multiplication of m-bit multiplier a(x) and m-bit multiplicand b(x) is performed from [(m+k−1)×k] coefficient matrix of a(x) in GF(2m); a partial multiplication unit performing the partial multiplication ┌m/k┐k−1 times in units of rows of the matrix Z to calculate an (┌m/k┐k−1)-th partial multiplication value and a final result value of the multiplication; and a reduction unit receiving the (┌m/k┐k−1)-th partial multiplication value fed back from the partial multiplication unit and performing reduction of the value in order to obtain a partial multiplication value next to the (┌m/k┐k−1)-th partial multiplication value.

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