= Problem 2: Consider the following function f(x) = x3 from GF(28) to GF(28). Let GF(28)*= GF(28) \ {0}. Then f is also
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= Problem 2: Consider the following function f(x) = x3 from GF(28) to GF(28). Let GF(28)*= GF(28) \ {0}. Then f is also
Statement (1) is true, but Statement (2) is false (B) Statement (2) is true, but Statement (1) is false (C) Both Statements (1) and (2) are true. (D) Both Statements (1) and (2) are false.
= Problem 2: Consider the following function f(x) = x3 from GF(28) to GF(28). Let GF(28)*= GF(28) \ {0}. Then f is also a function from GF(28)* to GF(28)*. Consider the following two statements: (1) f is a nonlinear function from (GF(28), +) to (GF(28), +). (2) f is a nonlinear function from (GF(28)*, x) to (GF(28)*, ). 2 Which of the following statements is true? 10 marks (A)