@article{(Open Science Index):https://publications.waset.org/pdf/12471,
	  title     = {A Cheating Model for Cellular Automata-Based Secret Sharing Schemes},
	  author    = {Borna Jafarpour and  Azadeh Nematzadeh and  Vahid Kazempour and  Babak Sadeghian},
	  country	= {},
	  institution	= {},
	  abstract     = {Cellular automata have been used for design of cryptosystems. Recently some secret sharing schemes based on linear memory cellular automata have been introduced which are used for both text and image. In this paper, we illustrate that these secret sharing schemes are vulnerable to dishonest participants- collusion. We propose a cheating model for the secret sharing schemes based on linear memory cellular automata. For this purpose we present a novel uniform model for representation of all secret sharing schemes based on cellular automata. Participants can cheat by means of sending bogus shares or bogus transition rules. Cheaters can cooperate to corrupt a shared secret and compute a cheating value added to it. Honest participants are not aware of cheating and suppose the incorrect secret as the valid one. We prove that cheaters can recover valid secret by removing the cheating value form the corrupted secret. We provide methods of calculating the cheating value.
},
	    journal   = {International Journal of Computer and Information Engineering},
	  volume    = {1},
	  number    = {7},
	  year      = {2007},
	  pages     = {1984 - 1988},
	  ee        = {https://publications.waset.org/pdf/12471},
	  url   	= {https://publications.waset.org/vol/7},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 7, 2007},
	}