Skip to main content
Log in

Data positioning as an instrument of constructive data compression

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

A fundamentally new algorithm for data compression is considered. A theoretical basis is provided for the formation, modification, and conversion of data positions aimed at their reversible compression. The specifics are described of a method development based on structure encryption, i.e., reformatting the architecture of the compressed data alphabet based on the positionality and conditionality properties of the compression level and the structural numbering of the reformatted alphabet’s architecture in a positional multilevel space. We substantiate the principle of redundancy reduction due to the following: the simultaneous modification of the positions inhibiting the appearance of noninteger values of new positions and constraints on the digit capacity of the elements in positioning arrays, the identification of the carriers of stabilizing elements in the digital space, and the reduction of the positions with code combinations in the course of the array processing. A particular case of a data conversion protocol is presented. Problems are solved of combining the principles of data reversibility and supercompression both in the modes of single and multiple use of one and the same encryption scenario. The cost of the positioning processes and their influence on the efficiency of the processes of the data encoding and decoding have been determined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Olifer, V.G. and Olifer, N.A., Komp’yuternye seti. Printsipy, tekhnologii, protokoly, (Computer Networks. Principles, Technologies, Protocols), St. Petersburg: Piter, 2006.

    Google Scholar 

  2. Wallace, G.K., The JPEG Still Picture Compression Standard, Commun. ACM, 1991, no. 4, pp. 31–34.

  3. Slobodyanyuk, A.V., Methodology of Analysis of Approaches According to Reduction of Redundancy of Images with the Different Degree of Reliability in Information-Telecommunication Systems, Sist. Upr., Navigats. Zv’yazku, Kiev: TsNDI NU, 2008, no. 4, pp. 158–160.

    Google Scholar 

  4. Shannon, C.E., A Mathematic Theory of Communications, Bell Syst. Techn. J., 1948, vol. 27, no. 10, pp. 623–656.

    MathSciNet  Google Scholar 

  5. Russ, J.C., The Image Processing Handbook, New York: CRC, 2002.

    MATH  Google Scholar 

  6. Costanzo, A., Robinson, D., and Ullmann, R., Encoding Header Field for Internet Messages, Network Working Group J., 1993, pp. 1–36. http://portal.acm.org/citation.cfm?id=RFC1505

  7. Kou, W.K., Digital Image Compression, Washington: Springer-Verlag, 1995.

    Google Scholar 

  8. Huffman, D.A., A Method for the Construction of Minimum-Redundancy Codes, Proc. IRE, 1952, vol. 40, pp. 1098–1101.

    Article  Google Scholar 

  9. Ziv, J. and Lempel, A., A Universal Algorithm for Sequential Data Compression, IEEE Trans. Inf. Theory, 1977, vol. 23, pp. 337–343.

    Article  MathSciNet  MATH  Google Scholar 

  10. Welch, T.A., Technique for High-Performance Data Compression, IEEE Computer, 1984, vol. 17, pp. 8–19.

    Article  Google Scholar 

  11. Rissanen, J. and Langdon, G.G., Arithmetic Coding, IBM J. Res. Develop., 1979, vol. 23, pp. 149–162.

    Article  MathSciNet  MATH  Google Scholar 

  12. Stout, Q.F., Improved Prefix Encodings of the Natural Numbers, IEEE Trans. Inf. Theory, 1980, vol. 26, pp. 607–609.

    Article  MathSciNet  MATH  Google Scholar 

  13. Kasumov, N.K., Suleimanov, A.Sh., and Damadaev, M.M., New View on Compression of Information Flows, Uchenye Zapiski NAA, 2002, vol. 4, no. 1, pp. 11–15.

    Google Scholar 

  14. Kasumov, N.K., Conplex of Cryptographic Systems as Foundation for Loss-Free Data Packing, Sist. Upravl. Inform. Tekhnol., 2006, no. 3(25), pp. 74–79.

  15. Kasumov, N.K., The Universal Coding Method in the Data Compression Algorithm, Autom. Cont. Comp. Sci., 2010, vol. 44, pp. 279–286.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. K. Kasumov.

Additional information

Original Russian Text © N.K. Kasumov, 2012, published in Avtomatika i Vychislitel’naya Tekhnika, 2012, No. 5, pp. 58–69.

About this article

Cite this article

Kasumov, N.K. Data positioning as an instrument of constructive data compression. Aut. Control Comp. Sci. 46, 223–231 (2012). https://doi.org/10.3103/S0146411612050033

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411612050033

Keywords

Navigation