Problem statement: In the last decade, dynamical systems were utilized to develop cryptosystems, which ushered the era of continuous value cryptography that transformed the practical region from finite field to real numbers. Approach: Taking the security threats and privacy issues into consideration, fractals functions were incorporated into public-key cryptosystem due to their complicated math...

The McEliece and the Niederreiter public key cryptosystems (PKC) are supposed secure in a post quantum world [4] because there is no e cient quantum algorithm for the underlying problems upon which these cryptosystems are built. The CFS, Stern and KKS signature schemes are post-quantum secure because they are based on hard problems of coding theory. The purpose of this article is to describe wh...

A complexity-theoretic model for public-key steganography with active attacks is introduced. The notion of steganographic security against adaptive chosen-covertext attacks (SS-CCA) and a relaxation called steganographic security against replayable adaptive chosen-covertext attacks (SSRCCA) are formalized. These notions are closely related with CCA-security and RCCA-security for public-key cryp...

We propose three differential power analysis (DPA) countermeasures for securing the public key cryptosystems. All countermeasures are based on the window method, and can be used in both RSA and elliptic curve cryptosystems (ECC). By using the optimal countermeasure, performance penalty is small. In comparison with k-ary method, computation time of our countermeasure is only 105% in 1024-bit RSA...

The McEliece and the Niederreiter public key cryptosystems (PKC) are supposed secure in a post quantum world [4] because there is no efficient quantum algorithm for the underlying problems upon which these cryptosystems are built. The CFS, Stern and KKS signature schemes are post-quantum secure because they are based on hard problems of coding theory. The purpose of this article is to describe ...

Pairing based cryptosystems can accomplish novel security applications such as ID based cryptosystems which have not been con structed e ciently without the pairing The processing speed of the pair ing based cryptosystems is relatively slow compared with the other con ventional public key cryptosystems However several e cient algorithms for computing the pairing have been proposed namely Duursm...

Cryptographic systems based on elliptic curves have been introduced as an alternative to conventional public key cryptosystems. The security of both kinds of cryptosystems relies on the hypothesis that the underlying mathematical problems are computationally intractable, in the sense that they cannot be solved in polynomial time. In this paper, we study the performance of artificial neural netw...

II A beautiful idea 2 A The intuition . . . . . . . . . . . . . . . 2 B Classical cryptography . . . . . . . . . 3 1 Asymmetrical (public-key) cryptosystems . . . . . . . . . . . . . . . 3 2 Symmetrical (secret-key) cryptosystems . . . . . . . . . . . . . . . . . 4 3 The one-time-pad as “classical teleportation” . . . . . . . . . . . . . . 5 C The example of the BB84 protocol . . . 5 1 Principl...

As a special type of factorization of finite groups, logarithmic signature (LS) is used as the main component of cryptographic keys for secret key cryptosystems such as PGM and public key cryptosystems like MST1, MST2 and MST3. An LS with the shortest length is called a minimal logarithmic signature (MLS) and is even desirable for cryptographic constructions. The MLS conjecture states that ever...

This article motivates the importance of public-key cryptosystems that are secure against chosen ciphertext attack, and of rigorous security proofs. It also discusses the new cryptosystem developed by Cramer and Shoup, and its relevance in this regard.