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Paper: Key Mixing in Block Ciphers through Addition modulo $2^n$

Authors:
Debdeep Mukhopadhyay
Dipanwita RoyChowdhury
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URL: http://eprint.iacr.org/2005/383
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Abstract: The classical technique to perform key mixing in block ciphers is through exclusive-or (exor). In this paper we show that when the $n$-bit key is mixed in a block cipher of size $n$ bits via addition modulo $2^n$, the bias of the linear approximations falls exponentially fast. Experimental results have been provided to show that such a scheme cannot be cryptanalyzed using Linear Cryptanalysis.
BibTeX
@misc{eprint-2005-12717,
  title={Key Mixing in Block Ciphers through Addition modulo $2^n$},
  booktitle={IACR Eprint archive},
  keywords={secret-key cryptography / Block Ciphers, linear cryptanalysis, Key Mixing, Linear Approximations, Piling-Up Lemma},
  url={http://eprint.iacr.org/2005/383},
  note={ debdeep@vlsi.iitkgp.ernet.in 13078 received 22 Oct 2005},
  author={Debdeep Mukhopadhyay and Dipanwita RoyChowdhury},
  year=2005
}