SetDirectory[NotebookDirectory[]]

(*read plaintext inputs*)
inputs=StringSplit[ReadList["plaintext.txt",String]];
is=StringTrim[#,"0x"]&/@inputs;
inputs=Map[FromDigits[#,16]&,is,{2}];

Length[inputs]
inputs[[1,All]]//BaseForm[#,16]& (*debug: print the first block*)

recLen=Import["traceLength.txt","CSV"][[1,1]](*read length of one complete trace*)

(* prepare to read parts of traces
start = number of samples to skip at the start of each trace
len = number of samples to keep from each trace
count = number of traces to read *)
start=0;
len=recLen;(*CHANGE to the length of the first round*)
count=10;(*CHANGE to Length[inputs]; for the attack*)
type="Byte"

t=ConstantArray[0.,{count,len}]; (*prepare empty matrix*)
f=OpenRead["traces.bin",BinaryFormat->True];
For[i=1,i≤count,i++,
BinaryReadList[f,type,start];(*skip*)
t[[i]]=N[BinaryReadList[f,type,len]];(*read interesting part*)
BinaryReadList[f,type,recLen-(start+len)];(*skip*)
];
Close[f];

Dimensions[t](*dimensions of matrix of traces*)

mt=Mean[Transpose[t]]; (*remove mean of each trace (detrend)*)
t=t-mt;

ListLinePlot[t[[1]],PlotRange->All](*plot the 1st trace*)

ListLinePlot[t[[All,1;;100]]](*plot zoomed overlapping trace*)

(* STOP: Select the interesting part of traces, change start=, len=, count= ...  above. *)

(************ Define useful functions ***********)
(*setup AES SBOX*)
ss="0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
   0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
   0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
   0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
   0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
   0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
   0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
   0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
   0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
   0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
   0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
   0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
   0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
   0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
   0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
   0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16";
sss=StringTrim[StringTrim[StringSplit[ss,","]],"0x"];(*convert to hex strings*)
SubBytes=Map[FromDigits[#,16]&,sss];(*convert to integers*)
ClearAll[SBOX];
SBOX[a_]:=SubBytes[[a+1]];
SBOX[0]==16^^63(*test SBOX(0)*)

ClearAll[HammingWeight];
HammingWeight[x_]:=DigitCount[x,2,1];
HammingWeight[16^^00]
HammingWeight[16^^FF]
HammingWeight[{16^^A3,16^^00,16^^21}]

(**************************** Attack the first key byte *******************************)
(* You need to have selected the interesting parts of measured traces for correlation *)

(*Select the first byte of each input*)
d=inputs[[1;;count,1]];
d[[1;;20]]//BaseForm[#,16]&

(*Generate key hypotheses*)
k=Range[0,255];
k[[1;;20]]//BaseForm[#,16]&

(*XOR each data byte with each key*)
xmat=Outer[BitXor,d,k];
xmat[[1;;10,1;;10]]//MatrixForm//BaseForm[#,16]&

(*Substitute with SBOX all XORed values*)
smat=Map[?,?];
smat[[1;;10,1;;10]]//MatrixForm//BaseForm[#,16]&

(*Compute Hamming Weights -- the matrix of hypothetical power consumption*)
hmat=Map[?,?];
hmat[[1;;10,1;;10]]//MatrixForm

(*Compute the correlation matrix -- correlate the hypotheses with measured traces*)
Dimensions[hmat]
Dimensions[t]
corr=Correlation[?,?];
corr[[1;;10,1;;5]]//MatrixForm

acorr=Abs[?];
maxcorr=Max[?]
{kindex,kpos}=Position[acorr,maxcorr][[1]]
key=kindex-1
BaseForm[key,16]

(*Find the correlation peak(s) in the trace plot*)
ListLinePlot[corr[[?]],PlotRange->All]

(*Break all key bytes!*)
(*
kk={};
For[ki=1,ki≤16,ki++,
AppendTo[kk,key];
Print["Found key byte", " at position ", " with correlation "];
];
BaseForm[kk,16]
FromCharacterCode[kk]
*)