DOI: https://doi.org/10.3103/S0735272709090088
Open Access Open Access  Restricted Access Subscription Access

Family of two-dimensional correcting codes on a basis of perfect binary array

P. Ye. Baranov, Michael I. Mazurkov, V. Ya. Chechelnytskyi, A. A. Yakovenko

Abstract


We consider a family of two-dimensional correcting E(N)-codes on a basis of perfect binary arrays H(N), and we show correcting possibilities of E(N)-codes in comparison with corresponding BCH- codes with maximal length are essentially better with regard to correction of package (correlated) errors, at that, uncorrelated errors are corrected identically.


Full Text:

PDF

References


J. Jedwab and C. Mithell, “Constructing New Perfect Binary Arrays,” Electron. Lett. 24, No. 11, 650 (1988).

P. Wild, “Infinite Families of Perfect Binary Arrays,” Electron. Lett. 24, No. 14, 845 (1988).

M. I. Mazurkov and V. Ya. Chechelnytskyi, “The Classes of Equivalent and Generative Perfect Binary Arrays for CDMA-Technologies,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 46(5), 54 (2003); Radioelectron. Commun. Syst. 46(5), 44 (2003).

V. Ya. Chechenitskii, “A Method for Generation of the Full Class of Perfect Binary Arrays of the Order N = 8x8,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 48(11), 65 (2005); Radioelectron. Commun. Syst. 48(11), 52 (2005).

M. I. Mazurkov, V. Ya.Chechelnytskyi, and M. Yu. Gerasimenko, “Classes of Minimax Bi-Phase Signals Based on Perfect Binary Arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(10), 25 (2006); Radioelectron. Commun. Syst. 49(10), 16 (2006).

M. I. Mazurkov and V. Ya. Chechelnytskyi, “The Properties of the Full Class of Perfect Binary Arrays for 36 Elements,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 47(6), 56 (2004); Radioelectron. Commun. Syst. 47(6), 42 (2004).

M. I. Mazurkov and M. Yu. Gerasimenko, “Fast Orthogonal Transforms Based on Perfect Binary Arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(9), 54 (2006); Radioelectron. Commun. Syst. 49(9), 41 (2006).

A. M. Trakhtman and V. A. Trakhtman, Basic Principles of Discrete Signals on Finite Intervals (Sov. Radio, Moscow, 1975) [in Russian].

R. E. Blahut, Theory and Practice of Error Control Codes (Addison-Wesley, [s. l.], 1983; Mir, Moscow, 1986).

M. I. Mazurkov, “Recurrent Algorithm of Sliding Correlation Decoding of Cyclic Codes,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 43(1), 53 (2000); Radioelectron. Commun. Syst. 43(1), 43 (2000).







© Radioelectronics and Communications Systems, 2004–2021
When you copy an active link to the material is required
ISSN 1934-8061 (Online), ISSN 0735-2727 (Print)
tel./fax +38044 204-82-31, 204-90-41