A practical time complexity analysis of fuzzy rainbow tradeoff

Author

Haghighi, Mahmoud ; Dakhilalian, Mohammad

Author_Institution

Electr. & Comput. Eng. Dept., Isfahan Univ. of Technol., Isfahan, Iran

fYear

2014

fDate

3-4 Sept. 2014

Firstpage

39

Lastpage

43

Abstract

Time Memory Tradeoff is a probabilistic method for quickly inverting one-way functions (e.g. Hash functions) using pre-computed tables. There are many publicly known tradeoff algorithms and the fuzzy rainbow is one of the most recent of them, which has been used to attack GSM A5/1 in 2011. Even though the algorithm has been completely analyzed previously, but the existing analyses have been done in the RAM model of computation, which is not a realistic model to represent the storage model in a modern computer. As a result, the time complexity expressed by these analyses may not properly reflect the performance of real implementations of the algorithm. This work attempts to provide an accurate time analysis for the fuzzy rainbow tradeoff, based on external memory model, so that issues of practical relevance are taken into account.

Keywords

computational complexity; cryptography; fuzzy set theory; inverse problems; probability; storage management; GSM A5/1 attack; RAM model; external memory model; fuzzy rainbow tradeoff; hash functions; one-way function inversion; practical time complexity analysis; probabilistic method; storage model; time memory tradeoff; Algorithm design and analysis; Analytical models; Computational modeling; Cryptography; Image color analysis; Random access memory; Time complexity; External memory model; cryptanalysis; fuzzy rainbow tradeoff; time-memory tradeoff;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Security and Cryptology (ISCISC), 2014 11th International ISC Conference on

Conference_Location

Tehran

Type

conf

DOI

10.1109/ISCISC.2014.6994019

Filename

6994019