In this paper, we propose primitive rateless (PR) codes. A PR code is characterized by the message length and a polynomial over $\mathbf{GF}(2)$, which can generate potentially limitless number of coded symbols. We show that codewords truncated at any arbitrary be represented as subsequences maximum-length sequence ($m$-sequence). characterize Hamming weight distribution codes their duals for p...

A point in the d-dimensional integer lattice Z d $\mathbb {Z}^d$ is primitive when its coordinates are relatively prime. Two points multiples of one another they opposite, and for this reason, we consider half within lattice, ones whose first non-zero coordinate positive. We solve packing problem that asks largest possible number such absolute values any given sum to at most a fixed k. present ...

The sternal gland of primitive termites of the genus Zootermopsis (Z. nevadensis or Z. angusticollus) (Hagen) seems more organized than that of higher termites, in being comprised of three cell layers. It is also studded with about 200 campaniform sensilla. Below the meshwork cuticle of the gland lies a layer of columnar epithelial cells whose apical surfaces form a brush border, and whose basa...