227 citations · 309 across the 15 of their papers we have counts for
15 papers
New Galois Hulls of GRS Codes and Application to EAQECCs
Xiaolei Fang, Renjie Jin, Jinquan Luo +1
Galois hulls of linear codes have important applications in quantum coding theory. In this paper, we construct some new classes of (extended) generalized Reed-Solomon (GRS) codes w…
Constructions of MDS Self-dual Codes from Short length
Derong Xie, Xiaolei Fang, Jinquan Luo
Systematic constructions of MDS self-dual codes is widely concerned. In this paper, we consider the constructions of MDS Euclidean self-dual codes from short length. Indeed, the ex…
On Euclidean Hulls of MDS Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo
In this paper, we propose a mechanism on the constructions of MDS codes with arbitrary dimensions of Euclidean hulls. Precisely, we construct (extended) generalized Reed-Solomon(GR…
New MDS Euclidean Self-orthogonal Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo
In this paper, a criterion of MDS Euclidean self-orthogonal codes is presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via this criterion. In p…
New Quantum MDS Codes over Finite Fields
Xiaolei Fang, Jinquan Luo
In this paper, we present three new classes of -ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our construct…
New MDS Self-dual Codes over Finite Fields of Odd Characteristic
Xiaolei Fang, Khawla Lebed, Hongwei Liu +1
In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there…
Introducing the truly chaotic finite state machines and their applications in security field
Christophe Guyeux, Qianxue Wang, Xiole Fang +1
The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematica…
An optimization technique on pseudorandom generators based on chaotic iterations
Jacques M. Bahi, Xiaole Fang, Christophe Guyeux
Internet communication systems involving cryptography and data hiding often require billions of random numbers. In addition to the speed of the algorithm, the quality of the pseudo…
Randomness and disorder of chaotic iterations. Applications in information security field
Xiaole Fang, Christophe Guyeux, Qianxue Wang +1
Design and cryptanalysis of chaotic encryption schemes are major concerns to provide secured information systems. Pursuing our previous research works, some well-defined discrete c…
Theoretical design and circuit implementation of integer domain chaotic systems
Qianxue Wang, Simin Yu, Christophe Guyeux +2
In this paper, a new approach for constructing integer domain chaotic systems (IDCS) is proposed, and its chaotic behavior is mathematically proven according to the Devaney's defin…
FPGA Design for Pseudorandom Number Generator Based on Chaotic Iteration used in Information Hiding Application
Jacques M. Bahi, Xiaole Fang, Christophe Guyeux +1
Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable…
Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
Qianxue Wang, Simin Yu, Chengqing Li +4
Traditionally, chaotic systems are built on the domain of infinite precision in mathematics. However, the quantization is inevitable for any digital devices, which causes dynamical…
Evaluating Quality of Chaotic Pseudo-Random Generators: Application to Information Hiding
Jacques M. Bahi, Xiaole Fang, Christophe Guyeux +1
Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generato…
On the design of a family of CI pseudo-random number generators
Jacques M. Bahi, Xiaole Fang, Christophe Guyeux +1
Chaos and its applications in the field of secure communications have attracted a lot of attention. Chaos-based pseudo-random number generators are critical to guarantee security o…
Randomness Quality of CI Chaotic Generators: Applications to Internet Security
Jacques M. Bahi, Xiaole Fang, Christophe Guyeux +1
Due to the rapid development of the Internet in recent years, the need to find new tools to reinforce trust and security through the Internet has became a major concern. The discov…