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Improve the protocol for sending information by "coding in time" so that message $m$ is transmitted in $\mathrm{O}(\sqrt{m})$ time units using a constant number of bits.

    Improve the protocol for sending information by "coding in time" so that message $m$ is transmitted in $\mathrm{O}(\sqrt{m})$ time units using a constant number of bits.

Introduction to Distributed Algorithms

Introduction to Distributed Algorithms

Gerard Tel 1st Edition

Chapter 11, Problem 1

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For example, we can use a time interval of 1 unit to represent a 0 bit and a time interval of 2 units to represent a 1 bit. This way, we can encode the entire message in $\mathrm{O}(m)$ time units. Show more…

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Improve the protocol for sending information by "coding in time" so that message $m$ is transmitted in $\mathrm{O}(\sqrt{m})$ time units using a constant number of bits.

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