Updated SM4 with AESENCLAST (markdown)

SM4-with-AESENCLAST.md

@@ -114,6 +114,43 @@ func gen_lookup_table(m [8]byte, c byte) {
 	}
 }
 ```
+Below python code is more intuitive:
+```
+from pyfinite import genericmatrix
+
+XOR = lambda x,y:x^y
+AND = lambda x,y:x&y
+DIV = lambda x,y:x
+
+
+def to_matrix(x):
+    m = genericmatrix.GenericMatrix(size=(8,8), zeroElement=0, identityElement=1, add=XOR, mul=AND, sub=XOR, div=DIV)
+    for i in range(8):
+        m.SetRow(i, [(x[i] & 0x80) >> 7, (x[i] & 0x40) >> 6, (x[i] & 0x20) >> 5, (x[i] & 0x10) >> 4, (x[i] & 0x08) >> 3, (x[i] & 0x04) >> 2, (x[i] & 0x02) >> 1, (x[i] & 0x01) >> 0]) 
+    return m
+
+def matrix_col_byte(c):
+    return (c[0] << 7) ^ (c[1] << 6) ^ (c[2] << 5) ^ (c[3] << 4) ^ (c[4] << 3) ^ (c[5] << 2) ^ (c[6] << 1) ^ (c[7] << 0)
+
+def gen_lookup(m, c):
+    Mmatrix = to_matrix(m)
+    table = []
+    for i in range(256):
+        Imatrix = genericmatrix.GenericMatrix(size=(8, 1), zeroElement=0, identityElement=1, add=XOR, mul=AND, sub=XOR, div=DIV)
+        for j in range (8):
+            Imatrix.SetRow(j, [(i >> (7 - j)) & 1])
+        tmp = Mmatrix * Imatrix
+        table.append(matrix_col_byte(tmp.GetColumn(0)) ^ c)    
+    return table
+
+def print_table(table):
+    for i, s in enumerate(table):
+        print(f'0x%02X'%s,',', end='')    
+        if (i+1) % 16 == 0:
+            print()
+
+print_table(gen_lookup([0xfe, 0x54, 0xaf, 0xdd, 0xf7, 0xf9, 0xac, 0xe2], 0x34))
+```
 
 **How to calculate M, C from lookup table?**