36,882 research outputs found
Wave-Shaped Round Functions and Primitive Groups
Round functions used as building blocks for iterated block ciphers, both in
the case of Substitution-Permutation Networks and Feistel Networks, are often
obtained as the composition of different layers which provide confusion and
diffusion, and key additions. The bijectivity of any encryption function,
crucial in order to make the decryption possible, is guaranteed by the use of
invertible layers or by the Feistel structure. In this work a new family of
ciphers, called wave ciphers, is introduced. In wave ciphers, round functions
feature wave functions, which are vectorial Boolean functions obtained as the
composition of non-invertible layers, where the confusion layer enlarges the
message which returns to its original size after the diffusion layer is
applied. This is motivated by the fact that relaxing the requirement that all
the layers are invertible allows to consider more functions which are optimal
with regard to non-linearity. In particular it allows to consider injective APN
S-boxes. In order to guarantee efficient decryption we propose to use wave
functions in Feistel Networks. With regard to security, the immunity from some
group-theoretical attacks is investigated. In particular, it is shown how to
avoid that the group generated by the round functions acts imprimitively, which
represent a serious flaw for the cipher
Wave-shaped round functions and primitive groups
Round functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks (SPN) and Feistel Networks (FN), are often obtained as the composition of different layers. The bijectivity of any encryption function is guaranteed by the use of invertible layers or by the Feistel structure. In this work a new family of ciphers, called wave ciphers, is introduced. In wave ciphers, round functions feature wave functions, which are vectorial Boolean functions obtained as the composition of non-invertible layers, where the confusion layer enlarges the message which returns to its original size after the diffusion layer is applied. Efficient decryption is guaranteed by the use of wave functions in FNs. It is shown how to avoid that the group generated by the round functions acts imprimitively, a serious flaw for the cipher. The primitivity is a consequence of a more general result, which reduce the problem of proving that a given FN generates a primitive group to proving that an SPN, directly related to the given FN, generates a primitive group. Finally, a concrete instance of real-world size wave cipher is proposed as an example, and its resistance against differential and linear cryptanalyses is also established.acceptedVersio
Music from Vibrating Wallpaper
Wallpaper patterns have been shown to be decomposable into standing waves of plane vibrations [6]. Previously unexplored are the sounds that arise from these vibrations. The main result of this paper is that each wallpaper type (square, hexagonal, rectangular, generic) has its own distinctive family of pitches relative to a fundamental. We review the method to make wallpaper with wave functions and describe new musical scales for each type, including initial attempts to use the scales: a movie showing vibrations of wallpaper patterns with 3- and 6-fold symmetry inspired a new piece by American composer William Susman, commissioned by the San Jose Chamber Orchestra, Barbara Day Turner, conductor. The piece, âIn a State of Patterns,â was premiered on March 25, 2018
On the primitivity of Lai-Massey schemes
In symmetric cryptography, the round functions used as building blocks for
iterated block ciphers are often obtained as the composition of different
layers providing confusion and diffusion. The study of the conditions on such
layers which make the group generated by the round functions of a block cipher
a primitive group has been addressed in the past years, both in the case of
Substitution Permutation Networks and Feistel Networks, giving to block cipher
designers the receipt to avoid the imprimitivity attack. In this paper a
similar study is proposed on the subject of the Lai-Massey scheme, a framework
which combines both Substitution Permutation Network and Feistel Network
features. Its resistance to the imprimitivity attack is obtained as a
consequence of a more general result in which the problem of proving the
primitivity of the Lai-Massey scheme is reduced to the simpler one of proving
the primitivity of the group generated by the round functions of a strictly
related Substitution Permutation Network
The Political Economy of Corporate Governance Change in Bulgaria: Washington Consensus, Primitive Accumulation of Capital, and Catching-Up in the 1990
This study examines three key determinants of corporate governance change in Bulgaria: the Washington Consensus policy, primitive accumulation of capital forces, and 'catching-up' factors. The study reveals that in the early transition (1989-96) primitive capital accumulation prevailed over the Washington Consensus impact on corporate governance transformation while since 1997 Washington Consensus has been in the process of becoming the decisive factor for institutional change. The emerging corporate governance system has been neither Anglo-American (market based) nor bank-based, but rather a 'crony' relationship-based one. The striking features of this system are as follows: (i) a dual enterprise sector, (ii) ownership heterogeneity; (iii) fragile capital markets; (iv) pervasive banks lending behavior; (v) globalization factors discretion. The challenge to policy-makers in Bulgaria is how to design institutions for 'catching-up' that would curb both managerial and globalization factors discretion.
Intervalley coupling by quantum dot confinement potentials in monolayer transition metal dichalcogenides
Monolayer transition metal dichalcogenides (TMDs) offer new opportunities for
realizing quantum dots (QDs) in the ultimate two-dimensional (2D) limit. Given
the rich control possibilities of electron valley pseudospin discovered in the
monolayers, this quantum degree of freedom can be a promising carrier of
information for potential quantum spintronics exploiting single electrons in
TMD QDs. An outstanding issue is to identify the degree of valley
hybridization, due to the QD confinement, which may significantly change the
valley physics in QDs from its form in the 2D bulk. Here we perform a
systematic study of the intervalley coupling by QD confinement potentials on
extended TMD monolayers. We find that the intervalley coupling in such geometry
is generically weak due to the vanishing amplitude of the electron wavefunction
at the QD boundary, and hence valley hybridization shall be well quenched by
the much stronger spin-valley coupling in monolayer TMDs and the QDs can well
inherit the valley physics of the 2D bulk. We also discover sensitive
dependence of intervalley coupling strength on the central position and the
lateral length scales of the confinement potentials, which may possibly allow
tuning of intervalley coupling by external controlsComment: 17 pages, 14 figure
Rac1-Dependent Collective Cell Migration Is Required for Specification of the Anterior-Posterior Body Axis of the Mouse
Live imaging and analysis of conditional mutants show that the embryonic organizer that determines the anterior-posterior axis in the mouse embryo moves by Rac1-dependent collective cell migration
Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
We study the correlation properties of the ground states of few ultracold
bosons, trapped in double wells of varying barrier height in one dimension.
Extending previous results on the signature of the transition from a
Bose-condensed state via fragmentation to the hard-core limit, we provide a
deeper understanding of that transition by relating it to the loss of coherence
in the one-body density matrix and to the emerging long-range tail in the
momentum spectrum. These are accounted for in detail by discussing the natural
orbitals and their occupations. Our discussion is complemented by an analysis
of the two-body correlation function.Comment: 22 pages, 7 figure
Vibration induced phase noise in Mach-Zehnder atom interferometers
The high inertial sensitivity of atom interferometers has been used to build
accelerometers and gyrometers but this sensitivity makes these interferometers
very sensitive to the laboratory seismic noise. This seismic noise induces a
phase noise which is large enough to reduce the fringe visibility in many
cases. We develop here a model calculation of this phase noise in the case of
Mach-Zehnder atom interferometers and we apply this model to our thermal
lithium interferometer. We are thus able to explain the observed dependence of
the fringe visibility with the diffraction order. The dynamical model developed
in the present paper should be very useful to further reduce this phase noise
in atom interferometers and this reduction should open the way to improved
interferometers
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