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TE ISE Computer Engineering

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A group (G,) is defined as a set with a binary operation that satisfies

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If a finite group G has order p, where p is

prime, then:

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If HMAC is computed using SHA-256 and the inner hash produces an intermediate digest of 256 bits, what size of data (in bits) is input to the outer hash function?
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Consider a message of length 1000 bits being processed by SHA-256. After padding and appending the 64-bit length field, what will be the total padded message length (in bits)?
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The group (Z₆, +) contains how many elements of

order 2?

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In Schnorr Digital Signature Scheme, if the hash function h(m||r)=5, private key xA=6, and random k=7, compute the signature component s in modulo q=11.
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In polynomial arithmetic over GF(2), addition of polynomials is equivalent to

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