Linear Cryptanalysis of Non Binary Ciphers

“Provable” Security against Differential and Linear Cryptanalysis

“…This approach is not restricted to binary variables but can be extended to any finite group. For example, projections x → ux mod p, for p prime, have been used in cryptanalysis of block ciphers with non-binary diffusion layer [3]. This leads to the following generalized notion of correlation…”

The Hybrid Cubes Encryption Algorithm (HiSea)

“…Continuous research in cryptographic communities to find suitable mathematical model for a new cryptographic model motivates this research. (Granboulan, 2006;Baigneres, 2007) are available in the literature on this topic.…”

“…transactions still rely on binary block cipher to ensure the security of their transactions. The need for ciphers which use integer numbers were introduced by Granboulan et al (2005) in their cipher called TOY100 and Baigneres et al (2007) with a cipher called BEAN16. These type of ciphers do not require message to be converted to binary number in the encryption and decryption algorithm.…”

“…Message is the original message (readable to human) or data that needs to be decimal representation is commonly used as the message as in TOY100 (Granboulan, 2006) and DEAN18 (Baigneres, 2007).…”

“…Hexadecimal format (0..F) which can be easily processed using binary boolean operators such as XOR, OR, AND and NOT. Decimal ASCII characters on the hand ease the basic matrices operation such as addition and multiplication as implemented in A Large Block Cipher (Sastry, 2010), TOY100 (Granboulan, 2006) and DEAN18 (Baigneres, 2007).…”