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How Calculate inverse matrix in GF(2^5)

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I had implemented the Rijndael MixColumn operation in GF(2^5), but now I want implement inverse operation but I don't know how to do it. My problem is that I don't understand where arrived inverse matrix in AES so I don't know how implement my inverse matrix.

Thank you.

I tried calculate inverse AES matrix, from AES matrix (1), with modulo 2^8, but result are no real inverse matrix of AES.

(1)

2 3 1 1

1 2 3 1

1 1 2 3

3 1 1 2

This is result inverse with modulo

212 161 007 059

059 212 161 007

007 059 212 161

161 007 059 212

This is real inverse AES matrix

14 11 13 09

09 14 11 13

13 09 14 11

11 13 09 14

aes matrix-inverse block-cipher galois-field

share|improve this question

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This link crypto.stackexchange.com/questions/44437/… contains how to calculate the inverse of LED matrix in GF $2^4$ . you can take the code replace it with AES matrix and use the irreducible polynomial in GF $ 2^8$.
  
  – hardyrama
  May 8 at 19:21
  

  
  
  
  

add a comment | 

0

I had implemented the Rijndael MixColumn operation in GF(2^5), but now I want implement inverse operation but I don't know how to do it. My problem is that I don't understand where arrived inverse matrix in AES so I don't know how implement my inverse matrix.

Thank you.

I tried calculate inverse AES matrix, from AES matrix (1), with modulo 2^8, but result are no real inverse matrix of AES.

(1)

2 3 1 1

1 2 3 1

1 1 2 3

3 1 1 2

This is result inverse with modulo

212 161 007 059

059 212 161 007

007 059 212 161

161 007 059 212

This is real inverse AES matrix

14 11 13 09

09 14 11 13

13 09 14 11

11 13 09 14

aes matrix-inverse block-cipher galois-field

share|improve this question

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This link crypto.stackexchange.com/questions/44437/… contains how to calculate the inverse of LED matrix in GF $2^4$ . you can take the code replace it with AES matrix and use the irreducible polynomial in GF $ 2^8$.
  
  – hardyrama
  May 8 at 19:21
  

  
  
  
  

add a comment | 

I had implemented the Rijndael MixColumn operation in GF(2^5), but now I want implement inverse operation but I don't know how to do it. My problem is that I don't understand where arrived inverse matrix in AES so I don't know how implement my inverse matrix.

Thank you.

I tried calculate inverse AES matrix, from AES matrix (1), with modulo 2^8, but result are no real inverse matrix of AES.

(1)

2 3 1 1

1 2 3 1

1 1 2 3

3 1 1 2

This is result inverse with modulo

212 161 007 059

059 212 161 007

007 059 212 161

161 007 059 212

This is real inverse AES matrix

14 11 13 09

09 14 11 13

13 09 14 11

11 13 09 14

aes matrix-inverse block-cipher galois-field

share|improve this question

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

share|improve this question

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

share|improve this question

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges

asked Mar 27 at 11:49

user3499663user3499663

1122 bronze badges