Abstract Algebra: Theory and Applications · Problem 22.5.4

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-bch-error-correction

Problem

Let

w(t) = 1 + t^2 + t^4 + t^5 + t^7 + t^{12} + t^{13}

. Determine what the originally transmitted code polynomial was.