Synthesis Method for Families of Constant Amplitude Correcting Codes Based on an Arbitrary Bent-Square

Authors

  • Michael I. Mazurkov Department of Radioelectronic and Telecommunication Systems, Odessa National Polytechnic University, Ukraine.
  • Artem V.Sokolov Department of Radioelectronic and Telecommunication Systems, Odessa National Polytechnic University, Ukraine.
  • Igor V. Tsevukh Department of Radioelectronic and Telecommunication Systems, Odessa National Polytechnic University, Ukraine.

Keywords:

Constant Amplitude Code, MC-CDMA, Bent-Sequence, Bent-Square.

Abstract

One of the significant disadvantages of MCCDMA (Multi Code-Code Division Multiple Access) technology is a high PAPR (Peak-to-Average Power Ratio) values of used signals in such telecommunication systems. The most modern and effective solution to this problem is the C-codes based on bent-sequences. However, C-codes introduce significant redundancy in communication systems, which consumes only to reduce the signals PAPR value. In this paper, we developed a method for the synthesis of C-codes with error-correction properties on the basis of an arbitrary Agievich bent-square. To build a C-code with the specified distance properties, we used the proposed sets of semidyadic permutations. Structural properties of built C-codes allow the use of simplified procedures for coding and decoding. In this case, for length N = 256  and PAPR value κ = 1 , the cardinalities of constructed C-codes are in the range J = 512...10321920 for the code distances d = 128...64.One of the significant disadvantages of MC-CDMA (Multi Code-Code Division Multiple Access) technology is a high PAPR (Peak-to-Average Power Ratio) values of used signals in such telecommunication systems. The most modern and effective solution to this problem is the C-codes based on bent-sequences. However, C-codes introduce significant redundancy in communication systems, which consumes only to reduce the signals PAPR value. In this paper, we developed a method for the synthesis of C-codes with error-correction properties on the basis of an arbitrary Agievich bent-square. To build a C-code with the specified distance properties, we used the proposed sets of semidyadic permutations. Structural properties of built C-codes allow the use of simplified procedures for coding and decoding. In this case, for length  and PAPR value , the cardinalities of constructed C-codes are in the range  for the code distances .

References

Jiangzhou Wang, "Broadband Wireless Communications", The International Series in Engineering and Computer Science, Volume 620, 2002, P. 64-93.

K. G. Paterson "Sequences For OFDM and Multi-code CDMA: two problems in algebraic coding theory", Sequences and their applications. Seta 2001, Second Int. Conference (Bergen, Norway, May 13–17, 2001). Proc. Berlin: Springer, 2002, P. 46-71.

K.G. Paterson "On codes with low peak-to-average power ratio for multicode CDMA" HP Laboratories Technical Report HPL-2001-115, May 2001.

Y.C. Kim "Constant amplitude multi-code CDMA with built-in single parity check product code", IEEE Communications Letters, Volume: 10, Issue: 1, Jan 2006, P. 4-6.

N. Tokareva "Generalizations of bent functions. A survey", Journal of Applied and Industrial Mathematics, January 2011, Volume 5, Issue 1, P. 110–129.

N. Tokareva, "Bent Functions, 1st Edition: Results and Applications to Cryptography", Academic Press, 2015, P. 220.

Agievich S.V. "On the representation of bent functions by bent rectangles". — Probabilistic Methods in Discrete Mathematics: Proceedings of the Fifth International Petrozavodsk Conference (Petrozavodsk, June 1–6, 2000). Utrecht, Boston: VSP, 2002, P. 121-135.

A.V. Sokolov, "Regular Method for Synthesis of Basic Bent-Squares of Random Order", Science and Technology, 2016, No. 4, P. 345 - 352.

A.V. Sokolov, N. A. Barabanov. "Algorithm for removing the spectral equivalence of component Boolean functions of Nyberg-design S-boxes", Radioelectronics and Communications Systems 58, 5 (2015): P. 220-227.

R. Yarlagadda and J.E. Hershey, “Analysis and synthesis of bent sequences,” IEEE Proceedings-E, Vol. 136, 1989, P. 112–123.

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Published

2017-04-15

How to Cite

I. Mazurkov, M., V.Sokolov, A., & V. Tsevukh, I. (2017). Synthesis Method for Families of Constant Amplitude Correcting Codes Based on an Arbitrary Bent-Square. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 9(2), 99–103. Retrieved from https://jtec.utem.edu.my/jtec/article/view/1305

Issue

Vol. 9 No. 2: April - June 2017

Section

Articles

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