International audienceThe Polarized Electrons for Polarized Positrons experiment at the injector of the Continuous ElectronBeam Accelerator Facility has demonstrated for the first time the efficient transfer of polarization fromelectrons to positrons produced by the polarized bremsstrahlung radiation induced by a polarized electronbeam in a high-Z target. Positron polarization up to 82% have been measured for an initial electron beammomentum of 8.19 MeV=c, limited only by the electron beam polarization. This technique extendspolarized positron capabilities from GeV to MeV electron beams, and opens access to polarized positronbeam physics to a wide community
In this paper we present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Minimal list decoding for a code C refers to list decoding with radius L, where L is the minimum of the distances between the received word r and any codeword in C. We consider the problem of determining the value of L as well as determining all the codewords at distance L. Our approach involves a parametrization of interpolating polynomials of a minimal Gröbner basis G. We present two efficient ways to compute G. We also show that so-called re-encoding can be used to further reduce the complexity. We then demonstrate how our parametric approach can be solved by a computationally feasible rational curve fitting solution from a recent paper by Wu. Besides, we present an algorithm to compute the minimum multiplicity as well as the optimal values of the parameters associated with this multiplicity which results in overall savings in both memory and computation.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.