## Spline-Wavelet Bent Robust Codes

### Alla Levina, Gleb Ryaskin, Igor Zikratov

DOI: http://dx.doi.org/10.15439/2019F134

Citation: Proceedings of the 2019 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 18, pages 227–230 (2019)

Abstract. This paper presents an application of spline-wavelet transformation and bent-functions for the construction of robust codes. To improve the non-linear properties of presented robust codes, bent-functions were used. Bent-functions ensure maximum non-linearity of functions, increasing the probability of detecting an error in the data channel. In the work different designs of codes based on wavelet transform and bent-functions are developed. The difference of constructions consists of using different grids for wavelet transformation and using different bent-functions. The developed robust codes have higher characteristics compared to existing. These codes can be used for ensuring the security of transmitted information.

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