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The GCD of x^5+ x^4+ x^3– x^2 – x + 1 and x^3 + x^2+ x + 1 over GF(3) is(a) 1(b) x(c) x + 1(d) x^2 + 1The question was posed to me in final exam.This intriguing question comes from Overview in chapter Cryptography Overview, TCP/IP and Communication Networks of Cryptograph & Network Security

Answer»

The correct CHOICE is (c) X + 1

To elaborate: The GCD ofx^5+ x^4+ x^3 – x^2 – x + 1 and x^3 + x^2+ x + 1 over GF(3) is x + 1.



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