Differential Probability of Modular Addition with a Constant Operand

Alexis Warner Machado

Paper 2001/052

Differential Probability of Modular Addition with a Constant Operand

Alexis Warner Machado

Abstract

In this article I analyze the function f(X) = A + X (mod 2**n) exclusive-or differential probability. The result, regarding differential cryptanalysis, is a better understanding of ciphers that use f(X) as a primitive operation. A simple O(n) algorithm to compute the probability is given.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: differential probability differential cryptanalysis linear function modular addition
Contact author(s): alexis @ brfree com br
History: 2001-09-07: last of 3 revisions; 2001-06-27: received; See all versions
Short URL: https://ia.cr/2001/052
License: CC BY

BibTeX

@misc{cryptoeprint:2001/052,
      author = {Alexis Warner Machado},
      title = {Differential Probability of Modular Addition with a Constant Operand},
      howpublished = {Cryptology {ePrint} Archive, Paper 2001/052},
      year = {2001},
      url = {https://eprint.iacr.org/2001/052}
}