@article{DM_2016_28_1_a1, author = {V. A. Voloshko}, title = {Steganographic capacity for one-dimensional {Markov} cover} {\runningtitle{Steganographic} capacity for one-dimensional {Markov} cover} {\author*[1]{Valeriy} {A.} {Voloshko}} {\runningauthor{V.\,A.} {Voloshko}} \affil[1]{ {Belarusian} {State} {University,} e-mail: valeravoloshko@yandex.ru} {\abstract{For} shift-invariant probability measures on the set of infinite two-sided binary sequences (one-dimensional covers) we introduce the notion of capacity as a maximum portion of embedded into the cover uniformly distributed (purely random) binary sequence (message) that admits special correction of the cover restoring its distribution up to distribution of $n$-tuples (subwords of some fixed length $n$). {``Special} correction'' is carried out using the proposed new algorithm that changes some of the cover's symbols not occupied by embedded message. {The} features of the introduced capacity are examined for the {Markov} cover. {In} particular, we show how capacity may be significantly increased by weakening of the standard constraint that positions for message embedding have to be chosen by independent unfair coin tosses. {Experimental} results are presented for correction of real steganographic covers after {LSB-embedding.}} \keywords{binary sequence, shift-invariant measure, steganography, capacity}, journal = {Diskretnaya Matematika}, pages = {19--43}, publisher = {mathdoc}, volume = {28}, number = {1}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DM_2016_28_1_a1/} }