One of the basic tenets in information theory, the data processing inequality states that output divergence does not exceed the input divergence for any channel. For channels with...
—We show that a p-ary polyphase sequence of period p2 from the Fermat quotients is perfect. That is, its periodic autocorrelation is zero for all non-trivial phase shifts. We cal...
Ki-Hyeon Park, Hong-Yeop Song, Dae San Kim, Solomo...
—We propose and prove a theorem that allows the calculation of a class of functionals on Poisson point processes that have the form of expected values of sum-products of function...
Udo Schilcher, Stavros Toumpis, Martin Haenggi, Al...
Abstract—This paper considers the problem of matrix completion when some number of the columns are completely and arbitrarily corrupted, potentially by a malicious adversary. It ...
Nonlinearity is one of the most challenging combinatorial property in the domain of Boolean function research. Obtaining nonlinearity greater than the bent concatenation bound for...
—In this paper, the Gaussian many-to-one X channel, which is a special case of general multiuser X channel, is studied. In the Gaussian many-to-one X channel, communication links...
—It is known that the majority of the human genome consists of duplicated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originate...
This work builds on the variant of the function field sieve (FFS) algorithm for the medium prime case introduced by Joux and Lercier in 2006. We make several contributions. The ...