. As stated in Sect. 3.5.2, one important property which makes DES secure is that the S-boxes are nonlinear. In this problem we verify this property by computing the output of S1 for several pairs of inputs. Show that S1(x1)⊕S1(x2) = S1(x1 ⊕x2), where “⊕” denotes bitwise XOR, for: 1. x1 = 000000, x2 = 000001 I KNOW THAT THE ANSWER IS   11102⊕00002≠S1(0000012) 11102≠00002 CAN SOMEONE EXPLAIN HOW DO WE GET THIS NUMBERS? Ty!

Q: 2. (b) Suppose, a synchronous TDM multiplexer combines 5 sources and sends only TWO characters from…

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A: As explained in algorithm we can do the above process  N/2 times and for odd (N/2)-1 where N is the…

Q: 1

A: Answer 1:-

Q: consider the signal shown in the figure below, the signal is sampled 10,000 time per second and each…

A: Answer is given below .

Q: Consider the following continuous-time sinusoidal signal: x (1)=sin(27F1), -∞<t<∞ Since x(t) is…

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Q: Consider the following Promela model for the Alternating Bit Protocol /* Alternating Bit Protocol,…

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Q: Compute CBC-MAC for a message of 16 bits, “8642” (in Hexa). Assume a block size of 8 bits with an…

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Q: Consider two events, a and b, and a set of these binary events is S = {a, b, a, a, b, a, b, b, b, a,…

A: Answer: Binary events S = { a, b,a,a,b,a,b,b,b,a,a,a} If we split at middle then left have 4 a and 2…

Q: Suppose Alice computes the Secret prefix MAC (page 322: secret prefix MAC(x) = h(key || x)) for the…

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A: ANSWER:)

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Q: QUESTION 3 (a) Consider the code C={010,101} as the input to an extended binary symmetric channel…

A: Answer: I have given answered in the handwritten format in brief explained.

Q: Consider the following continuous-time sinusoidal signal: x.(1)=sin(27F1), ∞<t<∞ Since x.(t) is…

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A: 1) S1(0000002)⊕S1(0000012)≠S1(0000002⊕0000012) 11102⊕00002≠S1(0000012) 11102≠00002

Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. Suppose…

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Disjoint set forest

The concept of the disjoint set forest was introduced by Bernard A. Galler and Michael J. Fischer in 1964. The disjoint set forest is a method of implementing disjoint sets quickly. In the disjoint-set forest, each tree member points only to its parent. The root of every tree includes its representative and its parent. The disjoint set forest is a special kind of forest that performs Union and Find operations in near-constant amortized time.