Determine the gcd of the following pairs of polynomials. a. (x^{3}+x+1) and (x^{2}+x+1) over (mathrm{GF}(2)) b. (x^{3}-x+1)

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Determine the gcd of the following pairs of polynomials.

a. $x^{3}+x+1$ and $x^{2}+x+1$ over $\mathrm{GF}(2)$

b. $x^{3}-x+1$ and $x^{2}+1$ over $\mathrm{GF}(3)$

c. $x^{5}+x^{4}+x^{3}-x^{2}-x+1$ and $x^{3}+x^{2}+x+1$ over GF(3)

d. $x^{5}+88 x^{4}+73 x^{3}+83 x^{2}+51 x+67$ and $x^{3}+97 x^{2}+40 x+38$ over GF(101)

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Cryptography And Network Security

ISBN: 9780136097044

5th Edition

Authors: William Stallings

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Question Posted: Jan 27, 2024 12:00 PM

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Determine the gcd of the following pairs of polynomials. a. (x^{3}+x+1) and (x^{2}+x+1) over (mathrm{GF}(2)) b. (x^{3}-x+1)

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Cryptography And Network Security

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