In practice, an LFSR sequence would not be used as keystream for a stream cipher, due...

In practice, an LFSR sequence would not be used as keystream for a stream cipher, due to the linear complexity. Answer the following questions about linear complexity.

What is the linear complexity of a maximal length LFSR output sequence?
Describe one method using LFSRs to produce a binary output sequence but with increased linear complexity. Draw a diagram to illustrate your construction.

Solutions

Expert Solution

Linear complexity is also called linear span.If an LFSR sequence of n stages has the maximal period ,then it is called a maximal length sequence,shortened as m - sequence.

One standed wa is as follows.Let, n primitive LFSR with lengths with ,

now we take the GCD

and take a nonlinear boolean function

with

for that we have a output of linear complexity

evaluted over the integers, where output of LFSR is input as the variable of the bolean function.this is called the combination generator,

example.

Colby Messinger answered 11 months ago

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