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A Construction of Bent Functions with Optimal Algebraic Degree and Large Symmetric Group
secret-key cryptography Large Symmetric Group
2017/3/6
We present a construction of bent function fa,Sfa,S with n=2mn=2m variables for any nonzero vector a∈Fm2a∈F2m and subset SS of Fm2F2m satisfying a+S=Sa+S=S. We give the simple expression of the dual b...
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP
The same type prediction calculate symmetry group
2015/7/14
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP.
On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
Stable states and representations of the infnite symmetric group
Stable states representations of the infnite symmetric group Functional Analysis
2012/4/18
We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which generalize the classica...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...