Results 31 to 40 of about 1,357 (137)

On the Performance of Hyperelliptic Cryptosystems [PDF]

open access: yes, 1999
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to generate suitable curves for use in cryptography. This paper presents a practical comparison between the performance of elliptic curve based digital signature schemes and schemes ...
openaire   +1 more source

Properties of Cryptosystem PGM [PDF]

open access: yes, 2007
A cryptographic system, called PGM, was invented in the late 1970's by S. Magliveras. PGM is based on the prolific existence of certain kinds of factorization sets, called logarithmic signatures, for finite permutation groups. Logarithmic signatures were initially motivated by C. Sims' bases and strong generators.
Spyros S. Magliveras, Nasir D. Memon
openaire   +1 more source

Quantum‐Resistant Security in Digital Twin Healthcare Systems

open access: yesIET Wireless Sensor Systems, Volume 16, Issue 1, January/December 2026.
Quantum‐safe architecture for secure healthcare data transmission integrating QKD, edge devices, and cloud‐based Digital Twin analytics. ABSTRACT The development of digital twin (DT) systems for healthcare presents several challenges, particularly in ensuring data protection and communication security in real‐time environments.
Ahmed K. Jameil, Hamed Al‐Raweshidy
wiley   +1 more source

Cryptanalysis of the CFVZ cryptosystem

open access: yesAdvances in Mathematics of Communications, 2007
The paper analyzes CFVZ, a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the complexity of solving the underlying problem for the proposed system is dominated by the complexity of solving a fixed number of discrete logarithm problems in the group of an ...
Joan-Josep Climent   +2 more
openaire   +4 more sources

Safe and Quickest Medical Image Encryption Using Logistic Map Derived S‐Boxes and Galois Field

open access: yesComputational and Mathematical Methods, Volume 2026, Issue 1, 2026.
The pseudorandomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures because they are exchanged over public networks.
Mahwish Bano   +5 more
wiley   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully   +2 more
wiley   +1 more source

Cryptanalysis of the Square Cryptosystems [PDF]

open access: yes, 2009
Following the cryptanalyses of the encryption scheme HFE and of the signature scheme SFLASH, no serious alternative multivariate cryptosystems remained, except maybe the signature schemes UOV and HFE*** ***. Recently, two proposals have been made to build highly efficient multivariate cryptosystems around a quadratic internal transformation: the first ...
Olivier Billet, Gilles Macario-Rat
openaire   +1 more source

Strengthening McEliece Cryptosystem [PDF]

open access: yes, 2000
McEliece cryptosystem is a public-key cryptosystem based on error-correcting codes. It constitutes one of the few alternatives to cryptosystems relying on number theory. We present a modification of the McEliece cryptosystem which strengthens its security without increasing the size of the public key.
openaire   +1 more source

Generalisations of NTRU cryptosystem

open access: yesSecurity and Communication Networks, 2016
AbstractSince the proposal of NTRU cryptosystem, many variants were proposed by the researcher using different‐different algebraic structure. In this article, we try to explore the existing variants of NTRU cryptosystem with their comparative study. Copyright © 2016 John Wiley & Sons, Ltd.
Sonika Singh, Sahadeo Padhye
openaire   +1 more source

Cryptanalysis of the TTM Cryptosystem [PDF]

open access: yes, 2000
In 1985 Fell and Diffie proposed constructing trapdoor functions with multivariate equations [11]. They used several sequentially solved stages that combine into a triangular system we call T. In the present paper, we study a more general family of TPM (for "Triangle Plus Minus") schemes: a triangular construction mixed with some u random polynomials ...
Louis Goubin, Nicolas T. Courtois
openaire   +1 more source

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