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Journal of Algebraic Combinatorics, 2013 Updated with minor corrections reflecting referee comments.
Elizalde, Sergi, Roichman, Yuval
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Information, 2021 During the search for S-boxes resistant to Power Attacks, the S-box space has recently been divided into Hamming Weight classes, according to its theoretical resistance to these attacks using the metric variance of the confusion coefficient.
Carlos Miguel Legón-Pérez +5 more
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SIF Permutations and Chord-Connected Permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A stabilized-interval-free (SIF) permutation on [n], introduced by Callan, is a permutation that does not stabilize any proper interval of [n]. Such permutations are known to be the irreducibles in the decomposition of permutations along non-crossing ...
Natasha Blitvić
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Cladistics, 1994 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/31724/1/0000662 ...
Farris, James S. +3 more
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Permutations on the Random Permutation [PDF]
The Electronic Journal of Combinatorics, 2015 The random permutation is the Fraïssé limit of the class of finite structures with two linear orders. Answering a problem stated by Peter Cameron in 2002, we use a recent Ramsey-theoretic technique to show that there exist precisely 39 closed supergroups of the automorphism group of the random permutation, and thereby expose all symmetries of this ...
Linman, Julie, Pinsker, Michael
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IEEE Transactions on Information Theory, 2023 Motivated by the problem of constructing bijective maps with low differential uniformity, we introduce the notion of permutation resemblance of a function, which looks to measure the distance a given map is from being a permutation. We prove several results concerning permutation resemblance and show how it can be used to produce low differentially ...
Li-An Chen, Robert S. Coulter
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The Electronic Journal of Combinatorics, 2021 The concept of prolificity was previously introduced by the authors in the context of compositions of integers. We give a general interpretation of prolificity that applies across a range of relational structures defined in terms of counting embeddings.
Albert, Michael, Tannock, Murray
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The expected number of inversions after n adjacent transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
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Calculating Permutation Entropy without Permutations [PDF]
Complexity, 2020 A method for analyzing sequential data sets, similar to the permutation entropy one, is discussed. The characteristic features of this method are as follows: it preserves information about equal values, if any, in the embedding vectors; it is exempt from combinatorics; and it delivers the same entropy value as does the permutation method, provided the ...
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Polyominoes determined by permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 In this paper we consider the class of $\textit{permutominoes}$, i.e. a special class of polyominoes which are determined by a pair of permutations having the same size. We give a characterization of the permutations associated with convex permutominoes,
I. Fanti +4 more
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