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In the present day, AES is one the most widely used and most secureEncryption Systems prevailing. So, naturally lots of research work is going onto mount a significant attack on AES. Many different forms of Linear anddifferential cryptanalysis have been performed on AES. Of late, an active areaof research has been Algebraic Cryptanalysis of AES, where although fastprogress is being made, there are still numerous scopes for research andimprovement. One of the major reasons behind this being that algebraiccryptanalysis mainly depends on I/O relations of the AES S- Box (a majorcomponent of the AES). As, already known, that the key recovery algorithm ofAES can be broken down as an MQ problem which is itself considered hard.Solving these equations depends on our ability reduce them into linear formswhich are easily solvable under our current computational prowess. The lowerthe degree of these equations, the easier it is for us to linearlize hence theattack complexity reduces. The aim of this paper is to analyze the variousrelations involving small number of monomials of the AES S- Box and to answerthe question whether it is actually possible to have such monomial equationsfor the S- Box if we restrict the degree of the monomials. In other words thispaper aims to study such equations and see if they can be applicable for AES.

Analysing Relations involving small number of Monomials in AES S- Box