15,956 research outputs found
On Equivalence of Known Families of APN Functions in Small Dimensions
In this extended abstract, we computationally check and list the
CCZ-inequivalent APN functions from infinite families on for n
from 6 to 11. These functions are selected with simplest coefficients from
CCZ-inequivalent classes. This work can simplify checking CCZ-equivalence
between any APN function and infinite APN families.Comment: This paper is already in "PROCEEDING OF THE 20TH CONFERENCE OF FRUCT
ASSOCIATION
Note on DBI dynamics of Dbrane Near NS5-branes
In this note, we investigate the homogeneous radial dynamics of (Dp,
NS5)-systems without and with one compactified transverse direction, in the
framework of DBI effective action. During the homogeneous evolution, the
electric field on the D-brane is always conserved and the radial motion could
be reduced to an one-dimension dynamical system with an effective potential.
When the Dp-brane energy is not high, the brane moves in a restricted region,
with the orbits depending on the conserved energy, angular momentum through the
form of the effective potential. When the Dp-brane energy is high enough, it
can escape to the infinity. It turns out that the conserved angular momentum
plays an interesting role in the dynamics. Moreover, we discuss the gauge
dynamics around the tachyon vacuum and find that the dynamics is very
reminiscent of the string fluid in the rolling tachyon case.Comment: 13 pages, 2 figures; typos corrected, discussions improved; gauge
dynamics has been include
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