Consider the finite field F = Z2[x]/(xª + x + 1) Compute (x + 1)(x³ + x2 + x) in the field F and represent it in binary bits. O 0001 O 1000 O 1001 O 0100 0010

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the finite field F = Z2[x]/(x* +x + 1)
%3D
Compute (x + 1)(x³ + x2 + x) in the field F and represent it in binary
bits.
O 0001
1000
1001
0100
O 0010
If 3 is the input of the S-box for the Simplified AES with the finite
field given, find the output in hexadecimal
form.
O 7
O C
O A
B.
9,
Transcribed Image Text:Consider the finite field F = Z2[x]/(x* +x + 1) %3D Compute (x + 1)(x³ + x2 + x) in the field F and represent it in binary bits. O 0001 1000 1001 0100 O 0010 If 3 is the input of the S-box for the Simplified AES with the finite field given, find the output in hexadecimal form. O 7 O C O A B. 9,
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