Multiply the polynomials P1 = x^5 +x^2+ x) by P2 = (x^7 + x^4 +x^3+x^2 + x) in GF(28) with irreducible polynomial (x^8 + x^4 + x^3 + x + 1). The result is(a) x^4+ x^3+ x+1(b) x^5+ x^3+x^2+x+1(c) x^5+ x^4+ x^3+x+1(d) x^5+ x^3+x^2+xThe question was posed to me by my college director while I was bunking the class.The question is from Polynomial and Modular Arithmetic- III in division Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Multiply the polynomials P1 = x^5 +x^2+ x) by P2 = (x^7 + x^4 +x^3+x^2

1.	Multiply the polynomials P1 = x^5 +x^2+ x) by P2 = (x^7 + x^4 +x^3+x^2 + x) in GF(28) with irreducible polynomial (x^8 + x^4 + x^3 + x + 1). The result is(a) x^4+ x^3+ x+1(b) x^5+ x^3+x^2+x+1(c) x^5+ x^4+ x^3+x+1(d) x^5+ x^3+x^2+xThe question was posed to me by my college director while I was bunking the class.The question is from Polynomial and Modular Arithmetic- III in division Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security
Answer» The correct answer is (B) X^5+ x^3+x^2+x+1 Best explanation: On performing POLYNOMIAL multiplication we GET with respect to modulus (x^8 + x^4 + x^3 + x + 1) we get x^5+ x^3+x^2+x+1.

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