Blockchain Scalability and its Foundations in Distributed Systems | Week 3

Course Name: Blockchain Scalability and its Foundations in Distributed Systems

Course Link: Blockchain Scalability and its Foundations in Distributed Systems

These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Module 3 quiz

Q1. What is the message complexity of the consensus algorithm that works in the absence of failures?

  • O(n)
  • O(n2)

Answer: O(n2)


Q2. What is the communication complexity of the consensus algorithm that works in the absence of failures where b is the number of bits to encore a value?

  • O(bn2)
  • O(bn)

Answer: O(bn2)


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q3. What is the time complexity of the consensus algorithm that works in the absence of failures?

  • O(1)
  • O(n)

Answer: O(1)


Q4. What is the message complexity of the crash tolerant consensus algorithm?

  • O(f2)
  • O(fn2)
  • O(n2)
  • O(nf2)

Answer: O(fn2)


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q5. What is the communication complexity of the crash tolerant consensus algorithm when each value is represented by b bits?

  • O(bfn2)
  • O(b2fn2)
  • O(bfn3)

Answer: O(bfn3)


Q6. What is the time complexity of the crash tolerant consensus algorithm?

  • O(n)
  • O(f)
  • O(fn)
  • O(f+n)

Answer: O(f)


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q7. What is the message complexity of the Exponential Information Gathering (EIG) Byzantine fault-tolerant consensus algorithm?

  • O((f+1)n2)
  • O((f+1)2)
  • O(n2)
  • O(f+1)

Answer: O((f+1)n2)


Q8. What is the communication complexity, expressed in bits, of the Exponential Information Gathering (EIG) Byzantine fault tolerant algorithm, with b the maximum size in bits of a message?

  • O(bn(f+1))
  • O(b(f+1)n)
  • O(bnf+1)
  • O(bn2)

Answer: O(bnf+1)


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q9. What is the time complexity of the Exponential Information Gathering (EIG) Byzantine fault tolerant algorithm?

  • O(f+n)
  • O(n2)
  • O(f+1)
  • O((f+1)n2)

Answer: O(f+1)


Q10. True or False?
One cannot solve consensus with synchrony (and without authentication) if n=9 and the number of Byzantine failures is f=3.

  • True
  • False

Answer: True


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q11. True or False?
One cannot solve consensus with synchrony (and without authentication) if n=7 and f=2.

  • True
  • False

Answer: False


Q12. What is the number n of nodes that should run a consensus algorithm to tolerate f Byzantine nodes in a synchronous network (without authentication)?

  • f+1
  • 2f+1
  • 3f+1

Answer: 3f+1


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q13. True or False?
One cannot solve consensus with synchrony (and without authentication) if n=100 and f=30.

  • True
  • False

Answer: False


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q14. Given that the bandwidth is a limited resource, which communication complexity would allow a consensus algorithm to scale better:

  • O(bfn3)
  • O(bn2)
  • O(bnf+1)

Answer: O(bn2)


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


Q15. Why is the bit complexity of EIG increasing particularly fast with the number of participants compared to other algorithms?

  • Mainly because one participant needs to send messages to all participants.
  • Mainly because participants relay the information they received previously.

Answer: Mainly because participants relay the information they received previously.


These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz


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These are Blockchain Scalability and its Foundations in Distributed Systems Week 3 Answer Coursera Quiz
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