Presentation 2011-05-20
Relations among Information Theoretically and Computationally Secure Symmetric Key Encryptions
Mitsugu IWAMOTO, Kazuo OHTA,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper is concerned with several security notions for information theoretically secure symmetric key encryptions denned by the variational (statistical) distance. To ensure the perfect secrecy (PS), the mutual information is often used to evaluate the statistical independence between a message and a cryptogram. On the other hand, in order to recognize the information theoretically secure encryptions and computationally secure ones comprehensively, it is necessary to reconsider the notion of PS in terms of the variational distance. Based on the variational distance, three kinds of definitions for PS are naturally introduced, but their relations are not known. In this article, we show that two of three definitions of PS are essentially equivalent to the statistical versions of indistinguishability and semantic security. In addition, it is clarified that the other definition for PS, which is a straightforward extension of Shannon's perfect secrecy, is the strongest among three notions.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Symmetric Key Cryptosystem / Information Theoretic Security / Computational Security / Indistinguishability / Semantic Security.
Paper # IT2011-5
Date of Issue

Conference Information
Committee IT
Conference Date 2011/5/13(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To Information Theory (IT)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Relations among Information Theoretically and Computationally Secure Symmetric Key Encryptions
Sub Title (in English)
Keyword(1) Symmetric Key Cryptosystem
Keyword(2) Information Theoretic Security
Keyword(3) Computational Security
Keyword(4) Indistinguishability
Keyword(5) Semantic Security.
1st Author's Name Mitsugu IWAMOTO
1st Author's Affiliation Center for Frontier Science, the University of Electro-Communications()
2nd Author's Name Kazuo OHTA
2nd Author's Affiliation Graduate School of Informatics and Engineering, the University of Electro-Communications
Date 2011-05-20
Paper # IT2011-5
Volume (vol) vol.111
Number (no) 51
Page pp.pp.-
#Pages 6
Date of Issue