Topological study and Lyapunov exponent of a secure steganographic scheme

• Main Authors: Bahi, Jacques, Friot, Nicolas, Guyeux, Christophe
• Other Authors: Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST), Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté COMUE (UBFC)-Université Bourgogne Franche-Comté COMUE (UBFC)
• Format: Conference Object
• Language: English
• Published: HAL CCSD 2013
• Subjects: [INFO.INFO-DC]Computer Science [cs]/Distributed; Parallel; and Cluster Computing [cs.DC]; [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR]; [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation; Iceland
• Online Access: https://hal.science/hal-01304656; https://hal.science/hal-01304656/document; https://hal.science/hal-01304656/file/bfg13%3Aip-author.pdf

International audience CIS2 is a steganographic scheme proposed in the information hiding literature, belonging into the small category of algorithms being both stegoand topologically secure. Due to its stego-security, this scheme is able to face attacks that take place into the "watermark only attack" framework. Itstopological security reinforce its capability to face attacks in other frameworks as "known message attack" or "known original attack", in theSimmons' prisoner problem. In this research work, the study of topological properties of C I S 2 is enlarged by describing this scheme as iterations overthe real line, and investigating other security properties of topological nature as the Lyapunov exponent. Results show that this scheme is able towithdraw a malicious attacker in the "estimated original attack" context too.