Physical model of pseudorandom codes in multidimensional Euclidean space

The main problems of practical use of pseudorandom codes in modern data transmission systems are considered. The existing methods of generating pseudorandom sequences are analyzed. Physical model of pseudorandom codes in Euclidean space is developed. This model is displayed like carriers of code words in the form of pieces of realization of pseudorandom processes with a limited range.

[1]  Roman Oliynykov,et al.  Improvement for distinguisher efficiency of the 3-round Feistel network and a random permutation , 2011, Proceedings of the 6th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems.

[2]  Roman Oliynykov,et al.  Influence of addition modulo 2n on algebraic attacks , 2016, Cryptography and Communications.

[3]  Meir Feder,et al.  Random coding techniques for nonrandom codes , 1999, IEEE Trans. Inf. Theory.

[4]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[5]  A. A. Kuznetsov,et al.  DISCRETE SIGNALS WITH MULTI-LEVEL CORRELATION FUNCTION , 2012 .

[6]  C. Shannon,et al.  Communication In The Presence Of Noise , 1998, Proceedings of the IEEE.

[7]  Y. Stasev,et al.  Asymmetric Code-Theoretical Schemes Constructed with the Use of Algebraic Geometric Codes , 2005 .

[8]  I. Gorbenko,et al.  Methods of Information Protection in Communications Systems and Methods of Their Cryptoanalysis , 1998 .

[9]  Roman Oliynykov,et al.  A Method for Security Estimation of the Spn-Based Block Cipher Against Related-Key Attacks , 2014 .

[10]  Alexandr Kuznetsov,et al.  The Design of Boolean Functions by Modified Hill Climbing Method , 2009, 2009 Sixth International Conference on Information Technology: New Generations.

[11]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[12]  I. D. Gorbenko,et al.  ENSEMBLE AND CORRELATION PROPERTIES OF CRYPTOGRAPHIC SIGNALS FOR TELECOMMUNICATION SYSTEM AND NETWORK APPLICATIONS , 2016 .

[13]  Properties of Linear Transformations for Symmetric Block Ciphers on the Basis of MDS-Codes , 2011, 2011 Conference on Network and Information Systems Security.

[14]  Y. Stasev,et al.  Formation of pseudorandom sequences with improved autocorrelation properties , 2007 .