Which techniques could be applied to AES to prevent these kind of attacks?
I can just think of creating noise with a parallel process for random computation, so the signals have the combination of that process and the crypto process.
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Masking (attempt to conceal the intermediate date processed by modifying the data such that the complete secret is never processed simultaneously)
For example you can introduce s-box shuffling in AES as a software solution to decrease the likelihood that the attack succeeds.
Pseudo Code s-box shuffling from Figure 2 of www.indjst.org/index.php/indjst/article/download/61626/48132:
Begin // The assignment of Round Key Byte RK // The generation of Random Value shuffle = rand()%8 // The execution of Key Expansion KeyExpansion(Byte Masterkey, Byte Roundkey) // The assignment of the execution of eight-shuffling AES (*ptr_shuffle)(Byte PT, Byte RK, Byte CT) ptr_shuffle = &AES_Original1 ptr_shuffle = &AES_Original1_Macro ptr_shuffle = &AES_Original2 ptr_shuffle = &AES_Original2_Macro ptr_shuffle = &AES_Bertoni ptr_shuffle = &AES_Bertoni_Macro ptr_shuffle = &AES_T-Table ptr_shuffle = &AES_T-Table_Macro // The execution of eight-shuffling AES ptr_shuffle[shuffle](PT, RK, CT)) End