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In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp gates, for some prime p. More accurately, the seed length of our generator is O(log n) for any constant error ϵ > 0. In fact, we obtain our generator by fooling distributions generated by low degree polynomials, over Fp,...
Generally, in an electricity market, congestion is caused by two main agents - offer/bid by generator/load and the transmission system (i.e. network) itself. In this paper, we focus on the interdependency between congestion and the network, while keeping the effect of offer/bid constant. Network-based dynamic congestion can occur when congestion changes due to the changes in the network. We analyze...
It is well known that there is a one-to-one correspondence between the entropy vector of a collection of n random variables and a certain group-characterizable vector obtained from a finite group and n of its subgroups. However, if one restricts attention to abelian groups then not all entropy vectors can be obtained. This is an explanation for the fact shown by Dougherty et al that linear network...
The classification of quaternary [21s+t,3,d] codes with dges16s and without zero coordinates is reduced to the classification of quaternary [21c(3,s,t)+t,k,d] code for sges1 and 0lestles20, where c(3,s,t)les min{s, 3t} is a function of 3, s, and t. Quaternary optimal Hermitian self-orthogonal codes are characterized by systems of linear equations. Based on these two results, the complete classification...
The classification of quaternary [21s+t,3,d] codes with dges16s and without zero coordinates is reduced to the classification of quaternary [21c(3,s,t)+t,k,d] code for sges1 and 0lestles20, where c(3,s,t)les min{s, 3t} is a function of 3, s, and t. Quaternary optimal Hermitian self-orthogonal codes are characterized by systems of linear equations. Based on these two results, the complete classification...
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