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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 2, Pages 1506–1516 (Mi semr1457)

This article is cited in 2 papers

Discrete mathematics and mathematical cybernetics

Error-tolerant ZZW-construction

Yu. V. Kosolapov, F. S. Pevnev

Southern Federal Univercity, 105/42, Bol'shaya Sadovaya str., Rostov-on-Don, 344006, Russia

Abstract: In 2008 Zhang, Zhang, and Wang proposed a steganographic construction that is close to upper bound of efficiency. However this system and many other are fragile to errors in the stegocontainer. Such errors can occur for example during the image processing. In this paper the ZZW-construction is modified for extracting data if errors and erasures occur in stegocontainer. It is shown that the correction is possible when linear codes in projective metrics (such as Vandermonde metric and phase rotating metric) are used. The efficiency of proposed construction is better than one for the well-known efficient combinatorial stegosystem.

Keywords: combinatorial steganography, projective metrics, Vandermonde metric, linear code, ZZW-construction.

UDC: 519.1

MSC: 68P30

Received December 21, 2020, published December 2, 2021

Language: English

DOI: 10.33048/semi.2021.18.113



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© Steklov Math. Inst. of RAS, 2024