Characterization of CA Rules for SACA Targeting Detection of Faulty Nodes in WSN

The single attractor cellular automata (SACA) is of prime interest in devising schemes for different applications specially in authentication and cryptography. The synthesis of SACA in linear/additive domain has been proposed in literature. This work reports characterization of such a special class of CA beyond linear domain. The characterization is based on the analysis of individual CA rule and its potential to form the single length cycle attractors (point states). The proposed characterization targets design of a CA based scheme for detection of faulty nodes in a wireless sensor network. It enables identification of faults even in multiple nodes with out major computation overhead.

[1]  Guillermo A. Francia A Wireless Sensor Network , 2003, International Conference on Wireless Networks.

[2]  Un-Sook Choi,et al.  Behaviors of Single Attractor Cellular Automata over Galois Field GF(2p) , 2006, ACRI.

[3]  T. Czárán The global dynamics of cellular automata: by Andrew Wuensche and Mike Lesser, Addison-Wesley, 1992. £39.69 hbk (xvii + 250 pages) ISBN 0 201 55740 1 , 1993 .

[4]  Wolfram,et al.  Undecidability and intractability in theoretical physics. , 1985, Physical review letters.

[5]  Parimal Pal Chaudhuri,et al.  Additive Cellular Automata Theory and Applications Volume I , 1997 .

[6]  Debdeep Mukhopadhyay,et al.  An Efficient Design of Cellular Automata Based Cryptographically Robust One-Way Function , 2007, 20th International Conference on VLSI Design held jointly with 6th International Conference on Embedded Systems (VLSID'07).

[7]  S. Wolfram Random sequence generation by cellular automata , 1986 .

[8]  Klaus Sutner,et al.  De Bruijn Graphs and Linear Cellular Automata , 1991, Complex Syst..

[9]  Santanu Chattopadhyay,et al.  Additive cellular automata : theory and applications , 1997 .

[10]  Biplab K. Sikdar,et al.  Cellular Automata Evolution for Pattern Classification , 2004, ACRI.

[11]  Parimal Pal Chaudhuri,et al.  Cellular Automata Based Authentication (CAA) , 2002, ACRI.

[12]  Arun Somani,et al.  Distributed fault detection of wireless sensor networks , 2006, DIWANS '06.

[13]  Stephen Wolfram,et al.  Universality and complexity in cellular automata , 1983 .

[14]  E. F. Codd,et al.  Cellular automata , 1968 .

[15]  Miodrag Potkonjak,et al.  Wireless Sensor Networks , 2003 .

[16]  S. Wolfram Statistical mechanics of cellular automata , 1983 .

[17]  Mike Hurley The Global Dynamics of Cellular Automata (Andrew Wuensche and Mike Lesser) , 1993, SIAM Rev..

[18]  Burton Voorhees,et al.  Additive Cellular Automata , 2009, Encyclopedia of Complexity and Systems Science.

[19]  A. Odlyzko,et al.  Algebraic properties of cellular automata , 1984 .