Geodesic
Search of an information message in noisy code blocks at repeated data transmission
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 55-57

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The security model using the method of code noising is considered. It is assumed that the information blocks of length $k$ contain a fixed message $m$ of length $l\leq k$ on a fixed position $q$, $1\leq q\leq k-l+1$, and an observer gets noisy codewords of length $n$ through a binary symmetric channel with error probability $({1-\Delta})/2$, $0\Delta\leq1$. The aim of the observer is to find the unknown message $m$, when position $q$ is unknown, and the length $l$ is known. We propose a method for finding $m$ and obtain an estimate for a sufficient number of observed codewords needed to recover the message $m$ in this way.
Keywords: code noising, repeated data transmission. 
@article{PDMA_2016_9_a21,
     author = {Y. V. Kosolapov and O. Y. Turchenko},
     title = {Search of an information message in noisy code blocks at repeated data transmission},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {55--57},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a21/}
}
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Y. V. Kosolapov; O. Y. Turchenko. Search of an information message in noisy code blocks at repeated data transmission. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 55-57. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a21/