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 during an internship interview.The query is from Overview topic in chapter Cryptography Overview, TCP/IP and Communication Networks of Cryptograph & Network Security

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

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 during an internship interview.The query is from Overview topic in chapter Cryptography Overview, TCP/IP and Communication Networks of Cryptograph & Network Security
Answer» CORRECT option is (b) X^5+ x^3+ x^2+x+1 The best I can EXPLAIN: 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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