439 research outputs found
A generalization of the binary Preparata code
AbstractA classical binary Preparata code P2(m) is a nonlinear (2m+1,22(2m-1-m),6)-code, where m is odd. It has a linear representation over the ring Z4 [Hammons et al., The Z4-linearity of Kerdock, Preparata, Goethals and related codes, IEEE Trans. Inform. Theory 40(2) (1994) 301–319]. Here for any q=2l>2 and any m such that (m,q-1)=1 a nonlinear code Pq(m) over the field F=GF(q) with parameters (q(Δ+1),q2(Δ-m),d⩾3q), where Δ=(qm-1)/(q-1), is constructed. If d=3q this set of parameters generalizes that of P2(m). The equality d=3q is established in the following cases: (1) for a series of initial admissible values q and m such that qm<2100; (2) for m=3,4 and any admissible q, and (3) for admissible q and m such that there exists a number m1 with m1|m and d(Pq(m1))=3q. We apply the approach of [Nechaev and Kuzmin, Linearly presentable codes, Proceedings of the 1996 IEEE International Symposium Information Theory and Application Victoria, BC, Canada 1996, pp. 31–34] the code P is a Reed–Solomon representation of a linear over the Galois ring R=GR(q2,4) code P dual to a linear code K with parameters near to those of generalized linear Kerdock code over R
Применение компьютерных технологий для решения задач, связанных с изучением трещиноватости скальных массивов
As far as fracturing assessment is concerned the information completeness of the data is responsible both for the geoecological forecasts reliability and the engineering decisions implementation. Authors developed a new technique allowing to provide a computer assisted process of drawing charts for the assessment of rock fracturing and an filtration anisotropy. The detailed description and justification of this technique as well as examples of its application are provided.Полнота и детальность информации о характере и интенсивности трещиноватости оказывает большое влияние на достоверность геоэкологических прогнозов и принятие инженерных решений при проектировании и строительстве сооружений. Авторами настоящей статьи предложена новая методика, позволяющая автоматизировать трудоемкий процесс построения диаграмм трещиноватости и оценки фильтрационной анизотропии. В статье приводится подробное описание и обоснование предлагаемой методики и примеры ее применения
Study of the radiation hardness of CsI(Tl) scintillation crystals
This paper is devoted to the study of a degradation of CsI(Tl)crystals
scintillation characteristics under irradiation with gamma-quanta at the
uniformly distributed absorbed dose up to 3700 rad. The sample set consisted of
25 crystals of 30 cm long having a truncated pyramid shape and 30 rectangular
crystals of the same length. A large difference in the light output
deterioration caused by the radiation was observed for the samples of the same
shape. A substantial dependence of the average light output loss from the
sample shape is seen as well. On the other hand, the crystals from the same
ingot behave very similarly under irradiation
Measurement of (1020) meson leptonic width with CMD-2 detector at VEPP-2M Collider
The (1020) meson leptonic width has been determined from the combined
analysis of 4 major decay modes of the resonance () studied with the CMD-2 detector at
the VEPP-2M collider. The following value has been obtained:
keV.
The meson parameters in four main decay channels have been also
recalculated: , , , .Comment: 14 pages, 3 figure
Spinodal decomposition, nuclear fog and two characteristic volumes in thermal multifragmentation
Thermal multifragmentation of hot nuclei is interpreted as the nuclear
liquid-fog phase transition inside the spinodal region. The experimental data
for p(8.1GeV) + Au collisions are analyzed within the framework of the
statistical multifragmentation model (SMM) for the events with emission of at
least two IMFs. It is found that the partition of hot nuclei is specified after
expansion to a volume equal to Vt = (2.6+-0.3) Vo, with Vo as the volume at
normal density. However, the freeze-out volume is found to be twice as large:
Vf = (5+-1) Vo.Comment: 8 pages, 6 figures, to be published in Nucl.Phys.
Anisotropic distribution functions for spherical galaxies
A method is presented for finding anisotropic distribution functions for
stellar systems with known, spherically symmetric, densities, which depends
only on the two classical integrals of the energy and the magnitude of the
angular momentum. It requires the density to be expressed as a sum of products
of functions of the potential and of the radial coordinate. The solution
corresponding to this type of density is in turn a sum of products of functions
of the energy and of the magnitude of the angular momentum. The products of the
density and its radial and transverse velocity dispersions can be also
expressed as a sum of products of functions of the potential and of the radial
coordinate. Several examples are given, including some of new anisotropic
distribution functions. This device can be extended further to the related
problem of finding two-integral distribution functions for axisymmetric
galaxies.Comment: 5 figure
Field-theoretical approach to particle oscillations in absorbing matter
The oscillations in absorbing matter are considered. The standard model
based on optical potential does not describe the total transition
probability as well as the channel corresponding to absorption of the
-particle. We calculate directly the off-diagonal matrix element in the
framework of field-theoretical approach. Contrary to one-particle model, the
final state absorption does not tend to suppress the channels mentioned above
or, similarly, calculation with hermitian Hamiltonian leads to increase the
corresponding values. The model reproduces all the results on the particle
oscillations, however it is oriented to the description of the above-mentioned
channels. Also we touch on the problem of infrared singularities. The approach
under study is infrared-free.Comment: 27 pages, 8 figure
Observation of semileptonic decays with CMD-2 detector
The decay has been observed by the CMD-2 detector at
the e^+e^- collider VEPP-2M at Novosibirsk. Of 6 million produced
pairs, events of the decay were selected. The
corresponding branching ratio is . This result is consistent with the evaluation of from the semileptonic rate and lifetime
assuming .Comment: 7 pages, 6 figures, LaTex2e. Submitted to Phys.Lett.
Nuclear multifragmentation and fission: similarity and differences
Thermal multifragmentation of hot nuclei is interpreted as the nuclear
liquid--fog phase transition deep inside the spinodal region. The experimental
data for p(8.1GeV) + Au collisions are analyzed. It is concluded that the decay
process of hot nuclei is characterized by two size parameters: transition state
and freeze-out volumes. The similarity between dynamics of fragmentation and
ordinary fission is discussed. The IMF emission time is related to the mean
rupture time at the multi-scission point, which corresponds to the kinetic
freeze-out configuration.Comment: 7 pages, 3 Postscript figures, Proceedings of IWM 2005, Catani
High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
We present a measurement of the pion form factor based on e+e- annihilation
data from the CMD-2 detector in the energy range 0.6<sqrt(s)<1.0 GeV with a
systematic uncertainty of 0.8%. A data sample is five times larger than that
used in our previous measurement.Comment: 18 pages, 10 figures. Added comparison with KLOE measurement, minor
updates. Accepted by PL
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