Geodesic
Solving undetermined systems of linear Boolean equations with corrupted right-hand side and low-weight true solution
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 235-237

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Undetermined systems of random linear Boolean equations with corrupted right-hand side and with a true solution of little Hamming weight are studied. Experimentally, we show that, for small bit-error rates, these systems can be efficiently solved by decoding algorithms with regard to information symbols.
Keywords: random systems of linear Boolean equations, information-set decoding. 
@article{PDMA_2019_12_a63,
     author = {N. Yu. Rumenko and A. V. Kostyuk},
     title = {Solving undetermined systems of linear {Boolean} equations with corrupted right-hand side and low-weight true solution},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {235--237},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a63/}
}
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N. Yu. Rumenko; A. V. Kostyuk. Solving undetermined systems of linear Boolean equations with corrupted right-hand side and low-weight true solution. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 235-237. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a63/