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2017-04-13 20:38:02 -0600 asked a question How to find the multiplicative order of an element in a quotient ring over finite field ?

Exampe,I am trying to find the order of (x+1) in F2[x]/<x^n+1>, For which x^n+1 factored into irreducible polynomial by cyclotomic polynomial. Please can any one help me. How to compute order for each factor for all n stars from 1-300: