A.N. Ganiev1, A.N. Grigorchuk2, A.K. Sagdeev3, V.A. Romakhin4

1,4Military University of Radioelectronics (Cherepovetc, Russia)

2S.M. Budyonny Military Academy of the Signal Corps (Saint Petersburg, Russia)

3Bonch-Bruevich Saint Petersburg State University of Telecommunications (Saint Petersburg, Russia)

The widespread use of parallel computing provides increased interest of developers of specialized computing devices to modular codes. These codes allow you to search and correct errors by using the interval number. However? the implementation of calculation algorithms in modular codes, considering the positional characteristics, leads to an increase in circuit costs, which reduces the speed of devices. The goal is to improve performance by developing an algorithm for calculating the interval number in the code of the residual class system. The analysis of algorithm for calculating positional characteristics in the modular code is carried out, the practical implementation of algorithms for calculating the interval number with single errors of the code of the system of residual classes is considered. A new approach is presented to reduce circuit costs, which are necessary to implement the algorithm for calculating the interval number in the code of the system of residual classes. The results can be used in the development of error detection and correction devices.

Ganiev A.N., Grigorchuk A.N., Sagdeev A.K., Romakhin V.A. Improvement of the algorithm for calculating the interval number in the code of the residual class system. Electromagnetic waves and electronic systems. 2022. V. 27. № 2. P. 64−71. DOI: https://doi.org/10.18127/j15604128-202202-08 (in Russian)

1. Velichko V.M., Sagdeev A.K., Sevostyanova N.I. Osnovy postroeniya mnogostupenchatoi polinomialnoi sistemy klassov vychetov v rasshirennykh polyakh Galua. Sb. nauch. statei VI Mezhd. nauch.-tekhn. i nauch.-metod. konf. «Aktualnye problemy infotelekommunikatsii v nauke i obrazovanii». V 4-kh tomakh. Pod red. S.V. Bachevskogo, sost. A.G. Vladyko, E.A. Anikevich. SPb.: SPbGUT. 2017. T. 1. S. 337−339. (in Russian)
2. Gapochkin A.V., Barbaryan V.G., Kalmykov M.I., Martirosyan A.G. Primenenie operatsii rasshchireniya sistemy osnovanii modulyarnogo koda dlya obnaruzheniya i korrektsii oshibki. Uspekhi sovremennogo estestvoznaniya. 2014. № 11−2. S. 56−58. (in Russian)
3. Chernomazov S.A., Martirosyan A.G., Gapochkin A.V., Kalmykov M.I. Razrabotka ustroistva obnaruzheniya i korrektsiya oshibok na osnove algoritma rasshireniya sistemy osnovanii modulyarnogo koda. Sovremennye naukoemkie tekhnologii. 2014. № 11. S. 41−46. (in Russian)
4. Kalmykov I.A., Sagdeev A.K., Khaivatov A.B. Razrabotka metodov obnaruzheniya i korrektsii oshibok v kode polinomialnoi sistemy klassov vychetov, baziruyushchikhsya na vychislenii sindroma oshibki. Sb. dokladov Mezhd. elektronnoi konf. M. 2005. S. 22−24. (in Russian)
5. Kalmykov I.A., Sagdeev A.K., Khaivatov A.B. Obnaruzhenie i korrektsiya oshibok v modulyarnom kode polinomialnoi sistemy klassov vychetov. Sovremennye naukoemkie tekhnologii (Penza). 2006. № 4. S. 51−53. (in Russian)
6. Petlevannyi S.V., Sagdeev A.K. Primenenie korrektiruyushchikh sposobnostei kodov dlya obespecheniya otkazoustoichivosti. Sovremennye naukoemkie tekhnologii (Penza). 2007. № 4. S. 41−42. (in Russian)
7. Pat. RF № 2309535; opubl. 27.10.2007. Ustroistvo dlya preobrazovaniya chisla iz polinomialnoi sistemy klassov vychetov v pozitsionnyi kod s korrektsiei oshibki. Kalmykov I.A., Petlevannyi S.V., Sagdeev A.K., Emarlukova Ya.V. (in Russian)
8. Gapochkin A.V., Kalmykov M.I., Vasilev P.S. Obnaruzhenie i korrektsiya oshibki na osnove vychisleniya intervalnogo nomera koda klassov vychetov. Sovremennye naukoemkie tekhnologii. 2014. № 6. S. 9−13. (in Russian)
9. Gapochkin A.V., Kalmykov M.I., Airiyan A.A. Korrektsiya oshibki v modulyarnom kode na osnove algoritma parallelnogo vychisleniya sleda. Mezhdunar. zhurnal eksperimentalnogo obrazovaniya. 2014. № 8−3. S. 34−38. (in Russian)
10. Goloshubov K.S., Solodkin I.G., Gapochkin A.V., Kalmykov M.I. Razrabotka algoritma vychisleniya ranga v nepozitsionnykh kodakh. Uspekhi sovremennogo estestvoznaniya. 2014. № 11−12. S. 59−64. (in Russian)
11. Kalmykov I.A., Timoshenko L.I., Lobodin M.V., Sagdeev A.K. Realizatsiya ortogonalnykh preobrazovanii signalov v rasshirennykh polyakh Galua. Sovremennye naukoemkie tekhnologii (Penza). 2006. № 4. S. 54−57. (in Russian)
12. Gapochkin A.V. Razrabotka algoritmov kontrolya i korrektsii oshibok v informatsii, predstavlennoi v sisteme ostatochnykh klassov. Sb. nauch. trudov I Mezhd. nauch.-prakt. konf. studentov, magistrantov i aspirantov «Nauka, tekhnologiya, tekhnika: perspektivnye issledovaniya i razrabotki». NOO «Professionalnaya nauka». 2016. S. 351−360. (in Russian)
13. Aleksandrova A.V., Sagdeev A.K., Sevostyanova N.I. Obespechenie ustoichivosti k otkazam na osnove primeneniya korrektiruyushchikh sposobnostei kodov. Sb. nauch. statei VI Mezhd. nauch.-tekhn. i nauch.-metod. konf. «Aktualnye problemy infotelekommunikatsii v nauke i obrazovanii». V 4-kh tomakh. Pod red. S.V. Bachevskogo; sost. A.G. Vladyko, E.A. Anikevich. SPb.: SPbGUT. 2017. T. 1. S. 282−285. (in Russian)
14. Sagdeev A.K., Sevostyanova N.I., Sidorenko E.N. Algoritmy vychisleniya koeffitsienta obobshchennoi poliadicheskoi sistemy i ikh neirosetevye realizatsii. Sb. nauch. statei VI Mezhd. nauch.-tekhn. i nauch.-metod. konf. «Aktualnye problemy infotelekommunikatsii v nauke i obrazovanii». V 4-kh tomakh. Pod red. S.V. Bachevskogo; sost. A.G. Vladyko, E.A. Anikevich. SPb.: SPbGUT. 2017. T. 1. S. 518−522. (in Russian)
15. Sagdeev A.K., Shterenberg I.G., Shterenberg S.I., Vinogradova O.M. Razrabotka bloka obnaruzheniya i korrektsii oshibok dlya ustroistva diagnostirovaniya kanalov peredachi tsifrovoi informatsii. Vestnik Sankt-Peterburgskogo gos. univ. tekhnologii i dizaina. Ser. 1. «Estestvennye i tekhnicheskie nauki». 2020. № 1. S. 15−24. (in Russian)
16. Busygin A.V., Grigorchuk A.N., Kocheshkov A.K., Odoevskii S.M. Varianty postanovok zadach analiza i sinteza infokommunikatsionnykh setei spetsialnogo naznacheniya, funktsioniruyushchikh v usloviyakh neopredelennosti i konflikta. Tr. TsNIIS. Sankt-Peterburgskii filial. 2018. T. 1. № 5. S. 134−146. (in Russian)