Cryptanalysis of Linear Feedback Shift Registers (Cryptanalysis of Linear Feedback Shift Registers)

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Description

Find the shortest linear feedback shift register that can generate a given finite sequence of digits.

Parameters

$n$: size of input stream

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Berlekamp–Massey algorithm 1969 $O(n^{2})$ $O(n)$? Exact Deterministic Time

Time Complexity Graph

Cryptanalysis of Linear Feedback Shift Registers - Time.png

Space Complexity Graph

Cryptanalysis of Linear Feedback Shift Registers - Space.png

Time-Space Tradeoff

Cryptanalysis of Linear Feedback Shift Registers - Pareto Frontier.png