Let dg (n, k) be the maximum possible minimum Hamming distance of a linear [n, k] code over lFg• In this paper, twenty-four new linear codes over lFg are constructed which improve the table of dg(n, k) by Brouwer. Four of these codes meet the upper bound on dg (n, k) and so are optimal. A geometric interpretation of the small dimensional codes is also given.

Title of Dissertation: SPATIAL DECOMPOSITIONS FOR GEOMETRIC INTERPOLATION AND EFFICIENT RENDERING Fatma Betul Atalay-Satoglu, Doctor of Philosophy, 2004 Dissertation directed by: Professor David M. Mount Department of Computer Science Interpolation is fundamental in many applications that are based on multidimensional scalar or vector fields. In such applications, it is possible to sample point...

The genetic code is a mapping of 64 codons to 22 actions, including polypeptide chain initiation, termination, and incorporation of the twenty amino acids. The standard tabular representation is useful for looking up which amino acid is encoded by a particular codon, but says little about functional relationships in the code. The possibility of making sense of the code rather than simply enumer...

Information processing in the presence of noise has been a key challenge in multiple disciplines including computer science, communications, and neuroscience. Among such noise-reduction mechanisms, the shiftmap code represents an analog variable by its residues with respect to distinct moduli (that are chosen as geometric scalings of an integer). Motivated by the multi-periodic neural code in t...

The reflectance factors of transparent fibers, free delustering agent, are predicted by geometric as well as Kubelka-Munk models. Transparent fibers are simulated by a net of glass capillary tubes containing different solutions of dyestuffs. Based on the results, prediction of the reflectance factor of capillary net by geometric model is relatively better than those obtained from Kubelka-Munk...

Despite the generally accepted notion that geometric variability is undesirable in turbomachinery airfoils, little is known in detail about its impact on aerothermal compressor performance. In this work, statistical and probabilistic techniques were used to assess the impact of geometric and operating condition uncertainty on axial compressor performance. High-fidelity models of geometric varia...

We prove that any completely regular code with minimum eigenvalue in geometric graph Γ corresponds to a the clique of Γ. Studying interrelation these codes, complete characterization codes Johnson graphs J(n,w) covering radius w−1 and strength 1 is obtained. In particular this result finishes J(n,3). also classify J(n,4) only one case for eigenvalues left open.

Abstract This article describes the genome browser of plant Arabidopsis thaliana as an inspiration for creation geometric artworks developed with code. Genome browsers are bioinformatic tools that life scientists use to access and visualize sequence data from species interest. The presented inspired by provide aesthetic interpretations genes their genomic contexts individual artist alternativel...