Spline-Wavelet Bent Robust Codes

Abstract

This paper presents an application of spline-wavelet transformation and bent-functions for the construction of robust codes. To improve the1 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.