Show that f(x) = x3 + x - 1 is irreducible over2 . Hence establish a primitive for GF*(23) with divisor f(x) and state t

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answerhappygod
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Show that f(x) = x3 + x - 1 is irreducible over2 . Hence establish a primitive for GF*(23) with divisor f(x) and state t

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Show that f(x) = x3 + x - 1 is irreducible over2 . Hence
establish a primitive for
GF*(23) with divisor f(x) and state the orbit for your primitive.
Describe how one
could use the El Gamal encryption-decryption scheme to encrypt and
decrypt a
plaintext message.
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