Paper 2011/080

Turbo Codes Can Be Asymptotically Information-Theoretically Secure

Xiao Ma

Abstract

This paper shows that a turbo-coded communication system can be made secure with a little bit of complexity cost. The classical permutation ciphers are revisited and analyzed. Firstly, the ideal stream permutation ciphers are shown to be asymptotically information-theoretically secure in the sense that the channel from plaintext to ciphertext has a vanished capacity, while the practical stream permutation ciphers are shown to be more secure than the classical stream ciphers in terms of protecting keys. Secondly, a necessary condition to break down a block permutation cipher is derived, which is then utilized to guarantee the computational security of a modified block permutation cipher. Thirdly, turbo ciphers (turbo-like codes with private interleavers) are proposed and analyzed.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Information-Theoretic SecuritySecure Error-correcting CodesTurbo codes
Contact author(s)
maxiao @ mail sysu edu cn
History
2011-02-20: received
Short URL
https://ia.cr/2011/080
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2011/080,
      author = {Xiao Ma},
      title = {Turbo Codes Can Be Asymptotically Information-Theoretically Secure},
      howpublished = {Cryptology ePrint Archive, Paper 2011/080},
      year = {2011},
      note = {\url{https://eprint.iacr.org/2011/080}},
      url = {https://eprint.iacr.org/2011/080}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.