Design of Hexi Cipher for Error Correction — Using Quasi Cyclic Partial Hexi Codes

Abstract

This paper presents a new cipher called the hexi cipher which makes use of a new class of codes called quasi cyclic partial hexi codes. This hexi cipher is a modification of the Advanced Encryptio n Standard (AES). It alters the mixed column operation of the AES and makes use of quasi cyclic partial hexi codes for error correction instead of the Maximum Distance Separable (MDS) code that has no error correcting capacity within the AES. The hexi cipher has the capacity to detect 99% of the errors and correct nearly 25% of the errors that occur, thus, it has a better error correcting capacity tha n existing error correcting ciphers.