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Hardware implementation of multiplication in finite field GF(2m) based on sparse polynomials is found to be advantageous in terms of space-complexity as well as the time-complexity. In order to design multipliers for the composite fields, we have found another permutation polynomial to convert irreducible polynomials into like-trinomials of the forms (x2 + x + 1)m + (x2 + x + 1)n + 1, (x2 + x)m +...
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