The 0-1 Knapsack polytope – a starting point for cryptanalysis of Knapsack ciphers?

Mak-Hau,VH and Batten,LM 2014, The 0-1 Knapsack polytope – a starting point for cryptanalysis of Knapsack ciphers?. In Batten, L, Li, G, Niu, W and Warren, M (ed), , Springer, Berlin, Germany, pp.171-182, doi: 10.1007/978-3-662-45670-5.

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Title The 0-1 Knapsack polytope – a starting point for cryptanalysis of Knapsack ciphers?
Author(s) Mak-Hau,VHORCID iD for Mak-Hau,VH orcid.org/0000-0002-9306-5780
Batten,LMORCID iD for Batten,LM orcid.org/0000-0003-4525-2423
Editor(s) Batten, LORCID iD for Batten, L orcid.org/0000-0003-4525-2423
Li, G
Niu, W
Warren, M
Publication date 2014
Series Communications in computer and information science ; 490
Chapter number 16
Total chapters 24
Start page 171
End page 182
Total pages 12
Publisher Springer
Place of Publication Berlin, Germany
Summary The Knapsack Cryptosystem of Merkle and Hellman, 1978, is one of the earliest public-key cryptography schemes. The security of the method relies on the difficulty in solving Subset Sum Problems (also known as Knapsack Problems). In this paper, we first provide a brief history of knapsack-based cryptosystems and their cryptanalysis attacks. Following that, we review the advances in integer programming approaches to 0 − 1 Knapsack Problems, with a focus on the polyhedral studies of the convex hull of the integer set. Last of all, we discuss potential future research directions in applying integer programming in the cryptanalysis of knapsack ciphers.
Notes 5th International Conference, ATIS 2014, Melbourne, VIC, Australia, November 26-28, 2014. Proceedings
ISBN 9783662456705
ISSN 1865-0929
Language eng
DOI 10.1007/978-3-662-45670-5
Field of Research 080402 Data Encryption
Socio Economic Objective 810103 Command
HERDC Research category B1 Book chapter
ERA Research output type B Book chapter
Copyright notice ©2014, Springer-Verlag
Persistent URL http://hdl.handle.net/10536/DRO/DU:30068097

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