Would variants of AES provide the same level of security as AES, say by just replacing the S-box with another one, MDS matrix of Mixcolumn, etc.?
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closed as too broad by e-sushi♦, DrLecter, Gilles, Henrick Hellström, poncho Aug 25 '14 at 11:49
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There is book Algebraic Aspects of the Advanced Encryption Standard thats gives a good algebraic description of the AES algorithm. Reading it you'll see that there was some freedom in choosing some parametres to fix a standard. Changing this choices, but keeping the algebric properties should give you an equivalent algorithm. This mainly means you can change the irreductible polynomial used to define the field, ...