The weight distribution and list-decoding size of Reed-Muller codes are studied in this work. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with weight up to the given parameter; and given a received word and a distance parameter, we are interested in bounding the size of the list of Reed-Muller codewords that are within that distance from the recei...

Regardless of proximal cause, photoreceptor injury or disease almost invariably leads to the activation of Muller cells, the principal glial cells in the retina. This observation implies the existence of signaling systems that inform Muller cells of the health status of photoreceptors. It further suggests that diverse types of photoreceptor damage elicit a limited range of biochemical responses...

A finite-state model of communicating processes is presented alongside with the Muller-Bartky model of asynchronous circuits. The purpose of such presentation is to expose a close similarity of these models, at a level of abstraction much lower than the Muller automaton.

We consider the usual one-pile subtraction game with an extra feature, called a Muller twist. The twist is that the number of stones to be removed from the heap is dictated by our opponent to be either in a prescribed set S or not. We investigate regularity in the sequences of Grundy values for such games.

Rhinolophidae, a family of echolocating bats, feature very baroque noseleaves that are assumed to shape their emission beam. Zhuang & Muller (Zhuang & Muller 2006 Phys. Rev. Lett. 97, 218701 (doi:10.1103/PhysRevLett.97.218701); Zhuang & Muller 2007 Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(Pt. 1), 051902 (doi:10.1103/PhysRevE.76.051902)) have proposed, based on finite element simulations,...

Muller, Ltd. 7s. 6d. The fact that a second impression of this book has followed hard on the heels of the first, is evidence of the welcome that has been given to it, and to that welcome we would add our own. No one responsible for Children's Homes, or employed in them, should be without the book for it contains an answer to the question which the writer?an ex-Barnardo child brought up in the B...

This paper discusses early work by Komamiya in Reed–Muller and arithmetic expressions for switching functions.

Hybrids between species are often sterile or inviable because the long-diverged genomes of their parents cause developmental problems when they come together in a single individual. According to the Dobzhansky-Muller (DM) model, the number of genes involved in these "intrinsic postzygotic incompatibilities" should increase faster than linearly with the divergence time between species. This stra...

In this paper, we discuss Reed-Muller codes using a set-theoretic approach. We present a new basis of minimum weight codewords which correspond to subspaces of a fixed dimension of affine geometry over GF (2). A generator matrix in standard form is also given. Index Words: Reed-Muller codes, Basis of minimum weight codewords, Incidence matrix, Standard form MR Subject Classification: 94B05, 05B20