STEGO TRANSFORMATION OF SPATIAL DOMAIN OF COVER IMAGE ROBUST AGAINST ATTACKS ON EMBEDDED MESSAGE

STEGO TRANSFORMATION OF SPATIAL DOMAIN OF COVER IMAGE

ROBUST AGAINST ATTACKS ON EMBEDDED MESSAGE

1 _{A. Kobozeva,} 1_{E. Lebedeva,} 2_{O. Kostyrka}

1

Odessa National Polytechnik University, Ukraine

2

Academy of Fire Safety named after Chernobyl Heroes, Ukraine

Abstract. One of the main requirements to steganografic algorithm to be developed is robustness against disturbing influences, that is, to attacks against the embedded message. It was shown that guaranteeing the stego algorithm robustness does not depend on whether the additional information is embedded into the spatial or transformation domain of the cover image. Given the existing advantages of the spatial domain of the cover image in organization of embedding and extracting processes, a sufficient condition for ensuring robustness of such stego transformation was obtained in this work. It was shown that the amount of brightness correction related to the pixels of the cover image block is similar to the amount of correction related to the maximum singular value of the corresponding matrix of the block in case of embedding additional data that ensures robustness against attacks on the embedded message. Recommendations were obtained for selecting the size lof the cover image block used in stego transformation as one of the parameters determining the calculation error of stego message. Given the inversely correspondence between the stego capacity of the stego channel being organized and the size of the cover image block, l=8 value was recommended.

Keywords: Stego algorithm, robustness, attack against the embedded message, spatial domain, digital image.

STEGANOTRANSFORMARE A REGIUNII SPA_ŢIALE A IMAGINII _– CONTAINER, REZISTENT_Ă Î_MPOTRIVĂ ATACURILOR CONTRA MESAJULUI ÎNCORPORAT

1_{Cobozeva . .,} 1_{Lebedeva .Iu.,} 2_{Costârca .V.}

1_{UЧiversitatea NaţioЧală politehЧică diЧ Odesa}

, Ucraina

2

Academia securităţii aЧtiiЧceЧdiare Eroii Cernobâl, Ucraina

Rezumat. Una dintre principalele МОrТЧțОle pentru steganoalgoritmul în procesul elaborărТТ este МОrТЧa de stabilitate lК pОrturЛКțТТ – КtКМurТlor ьЧНrОptКtО ьЦpotrТvă ЦОsКУuluТ ьЧМorporКt. SО НОЦoЧstrОКгă, Мă stКЛТlТtКtОК steganoalgoritmului nu depinde de faptul, în ce regiune a containerului, care este coЧsТНОrКt МК o ТЦКРТЧО НТРТtКlă - spК ТКlă sКu НО trКЧsПorЦКrО ( ьЧ НoЦОЧТul НО ПrОМvОЧ ă, sТЧРulКrТtКtО, НОsМoЦpuЧОrО К ЦКtrТМОТ ТЦКРТЧОТ ОtМ.) КrО loМ ьЧМărМКrОК ТЧПorЦК ТОТ suplТЦОЧtКrО. AvсЧН ьЧ vОНОrО КvКЧtКУОlО ОбТstОЧtО prТvТЧН НoЦОЧТul spК ТКl НО МoНТПТМКrО şТ НОМoНТПТМКrО К ТЧПorЦК ТОТ, ьЧ luМrКrО ОstО ПorЦulКtă МoЧНТ ТК ПorЦКlă ЧОМОsКră НО oЛțТЧutО К stКЛТlТtă ТТ proМОНurТТ НО stОРКЧotrКЧsПorЦКrО. SО НОЦoЧstrОКгă, Мă МorОМtКrОК luЦТЧoгТtă ТТ pТбОlТlor ьЧ ЛloМuluТ МoЧtКТЧОruluТ Мu КМОТКşТ vКloКrО ОstО ОМСТvКlОЧtă Мu ОПОМtul НО МorОМ ТО К vКlorТТ ЦКбТЦКlО К ЧuЦăruluТ НО sТЧРulКrТtКtО К ЦКtrТМОТ rОspОМtТvО К ЛloМuluТ МoЧtКТЧОruluТ lК ьЧМărМКrОК ТЧПorЦК ТОТ suplТЦОЧtКrО, МКrО РКrКЧtОКгă stКЛТlТtКtОК lК КtКМurТlor МoЧtrК ТЧПorЦК ТОТ ТЧМorporКtО. SО prОгТЧtă rОМoЦКЧНărТ prТvТЧН НТЦОЧsТoЧКrОК ЛloМuluТ Мontainerului utilizat pentru proМОНurК НО stОРКЧotrКЧsПorЦКrО ьЧ МКlТtКtО НО pКrКЦОtru МКrО НОtОrЦТЧă ОroКrОК НО МКlМul ьЧ proМОsОlО НО stОРКЧotrКЧsПorЦКrО. ТЧсЧН МoЧt НО rКportul ТЧvОrs propor ТoЧКl НТЧtrО МКpКМТtКtОК ЧООvТНОЧtă НО trКПТМ К МКЧКluluТ orРКЧТгКt stОРКЧoРrКПТМ șТ К НТЦОЧsТuЧТТ ЛloМuluТ МoЧtКТЧОruluТ sО rОМoЦКЧНă utТlТгКrОК НТЦОЧsТuЧТТ l=8.

Cuvinte_–cheie: Algoritm steganografic, stabilitate, atacul împotriva imaginiТ ьЧМorporКtО, ТЦКРТЧО НТРТtКlă.

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