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A131630 Consider the AES (or Rijndael) S-boxes, and concatenate i and sbox[i] for all i. Then a(n) is the number of these pairs at Hamming distance n from 0, sbox[0]. +0
2
1, 0, 0, 3, 7, 18, 41, 44, 34, 33, 40, 26, 6, 2, 1, 0, 0 (list; graph; listen)
OFFSET

0,4

COMMENT

The S-box takes as input one byte and outputs one byte. So we are concatenating an 8-bit i with the 8-bit output of sbox[i].

LINKS

J. Alex Halderman, Seth D. Schoen, Nadia Heninger, William Clarkson, William Paul, Joseph A. Calandrino, Ariel J. Feldman, Jacob Appelbaum and Edward W. Felten, Lest We Remember: Cold Boot Attacks on Encryption Keys, 2008.

Wikipedia, Rijndael S-box

EXAMPLE

0: 1

1: 0

2: 0

3: 3

4: 7

5: 18

6: 41

7: 44

8: 34

9: 33

10: 40

11: 26

12: 6

13: 2

14: 1

15: 0

16: 0

CROSSREFS

Cf. A131620.

Sequence in context: A074587 A076700 A026533 this_sequence A036884 A102291 A034691

Adjacent sequences: A131627 A131628 A131629 this_sequence A131631 A131632 A131633

KEYWORD

nonn,fini,full

AUTHOR

Nadia Heninger (nadiah(AT)cs.princeton.edu), May 28 2008

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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