The article focuses on the description of a new block cipher. Due to the heightened interest in BigData the described cipher is used to encrypt big volumes of data in cloud storage services. The main advantages of the given cipher are the ease of implementation and the possibility of probabilistic encryption. This means that the text encryption will be different when the key is the same and the data is the same. So, the strength of the encryption is improved. Additionally, the ciphered message size can be hardly predicted.