Question: 1.9. Compute x as far as possible without a calculator. Where appropriate, make use of a smart decomposition of the exponent as shown in the

1.9. Compute x as far as possible without a calculator. Where appropriate, make use of a smart decomposition of the exponent as shown in the example in Sect. 1.4.1: 1. x = 32 mod 13 2. x = 72 mod 13 3. x = 310 mod 13 4. x = 7100 mod 13 5. 7^x = 11 mod 13 The last problem is called a discrete logarithm and points to a hard problem which we discuss in Chap. 8. The security of many public-key schemes is based on the hardness of solving the discrete logarithm for large numbers, e.g., with more than 1000 bits.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

The ciphertext below was encrypted using a substitution cipher. Decrypt the ci- phertext without knowledge of the key. lrvmnir bpr sumvbwvr jx bpr lmiwv yjeryrkbi jx qmbm wi bpr xjvni mkd ymibrut jx...

Cryptographic Hardware Compute x as far as possible without a calculator. Where appropriate, make use of a smart decomposition of the exponent: a. x 3 10 mod 13 b. x 7 10 mod 13 c. 3 x 2 mod 5 (use...

3. Compute x as far as possible without a calculator. Where appropriate, make use of a smart decomposition of the exponent: x E310 mod 13 710 mod 13 32 mod 5 (use trial and error for this. As you...

Question 4: Computex as far as possible without a calculator. Where appropriate, make use of a smart decomposition of the exponent as shown in the example in Sect. 1.4.1: a. x 32 mod 13 b. x 72 mod...

Compute x as far as possible without a calculator by using a smart decomposition of the exponent as shown in the class. (a) x = 5^50 mod 13 (b) x = 5^100 mod 13

Compute x without a calculator. Where appropriate, make use of a smart decomposition of the exponent as shown in lecture 3 on "Modular Arithmetic". x = 3 2 mod 1 3 x = 7 2 mod 1 3 x = 3 1 0 mod 1 3 x...

UNIT 5 QZ, Q-20 UNIT 5 / UNIT 8 QUESTIONS KEEP ANSWERS SEPARATE BY UNITS UNIT II STUDY GUIDE Consumer Mathematics Reading Assignment See information below. Key Terms 1. Add-on interest method 2....

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Lecture Notes DL MGT 5100 - Distribution Management Spring 2017 1.0. Day one, Monday, Monday, 9 Jan 17 1.1. Reading Assignments: Chapters 1 and 2 1.1.1. I intend to follow the book so as to provide a...

What is the alternative method of handling prepaid expenses?

1. What advice would you give to this professional accountant? I am a professional accountant and hold the position of Financial Analyst, Capital Projects, with the Town of Pinecrest. In my position,...

What is Mark Cortazzo s alternative strategy instead of investing in annuities? ( As described in Kimberly Lankford s article: Lock in Your Retirement ) .

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

10. If you have good relationships with the people in your unit, then it is not necessary to have good relationships with people in other parts and levels of the organization.

5. It often is a good idea to make others dependent on you for your expertise and knowledge.

6. To maintain power, you should not compromise, even when an issue is of minor importance to you.