Current Issue
Open Access
Access granted
Subscription Access
Vol 61, No 1 (2025)
Information Theory
ON THE CONCENTRATION FUNCTION FOR A SUM OF RANDOM VARIABLES RELATED TO THE BINARY SYMMETRIC CHANNEL
Abstract
A sum of independent identically distributed random variables of a special form is considered. Using this sum, current posterior probabilities of messages for a randomly chosen code in a binary symmetric channel are described. The concentration function of this sum is studied.
Problemy peredači informacii. 2025;61(1):3-8
3-8
Quantum сommunications and сomputing
ON THE IMPACT OF HARDWARE AND ALGORITHMIC SOFTWARE PARAMETERS ON THE ACHIEVABLE LINE LENGTH FOR A QUANTUM KEY DISTRIBUTION PROTOCOL WITH PHASE-TIME CODING
Abstract
Quantum key distribution is one of perspective directions of modern cryptography. It allows the parties of information exchange to develop a common cryptographic key, the secrecy of which is ensured by the laws of quantum mechanics. The paper studies the influence of the characteristics of the quantum channel, as well as the parameters of the applied algorithms on the maximum achievable length of a communication line for a protocol with phase-time coding and decoy states. By computational experiments with a simulation model of a quantum key distribution system based on the above protocol, it was found that the stable operation of the protocol is possible with line length of at most 210 km. It was also shown that this value can be increased by constructing more efficient sifted key correction algorithms.
Problemy peredači informacii. 2025;61(1):9-30
9-30
Methods of Signal Processing
ANALYTICAL METRIC GRIDS FOR STATISTICAL AND SPECTRAL COMPLEXITY DIAGRAMS
Abstract
The paper is devoted to the study of statistical and spectral complexity diagrams, which play an important role in solving the signal classification task. Lemmas on the construction of analytical metric grids for statistical and spectral complexity diagrams are formulated and proved. The obtained theoretical results are verified by numerical experiments, which confirmed the effectiveness of theoretical estimates.
Problemy peredači informacii. 2025;61(1):31-46
31-46
OPTIMIZATION OF THE REGION OF INDISTINGUISHABILITY FOR A RECEIVER OF BINARY SIGNALS TRANSMITTED OVER A JAMMING CHANNEL
Abstract
For the reception of binary pseudorandom signals under the influence of intentional interference we introduce a randomized decisive rule with a region of indistinguishability of received signals. It is established that for signals with base n ≤ 2 the constructed rule of the receiver provides an increase in noise resistance of the information transmission system in the class of interference with limited average power as compared to the Kotelnikov receiver. The obtained value of the guaranteed error probability improves the actual upper bound for this quantity.
Problemy peredači informacii. 2025;61(1):47-59
47-59