Physics, mathematics, and technology

2019 Issue №4

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Ill Posed Problems and Information Security



Well posed (by Hadamard) problem has properties of existence, unique­ness and stability of its solution. Ill posed problems do not have at least one of the above properties, often this is the stability property of the solution with re­spect to initial conditions. The solution of such problems is sensitive even to a small change in the values of the input data, and so we do not guarantee an acceptable approximation to the answer at the level of the existing error in the measurement of initial values. The paper discusses the use of the instability ef­fect for the synthesis of cryptographic transformations using natural noise in radio channels.


1.  Hadamard J. Sur les probl`emes aux derivees partielles et leur signification physique // Bull. Univ. Princeton. 1902. Vol. 13. P. 49—52.

2.  Канторович Л. В., Акилов Г. П. Функциональный анализ. М., 1984.

3.  Цветов В. П. Об одной задаче декодирования символов по неполным данным в радиоканале // Сб. науч. тр. III Междунар. конф. и молодежной школы ИТНТ-2017. Самара, 2017. С. 954—957.