The outer billiard dynamical system models the motion of a particle around a compact domain, such as a planet orbiting a star. When considering outer billiards in hyperbolic space, an interesting problem is to determine precisely the conditions in which an orbiting particle breaks orbit and escapes to infinity. Past work has classified triangular and Penrose kite billiard tables according to wh...

The FPGA (Field-Programmable Gate Array) has recently become the popular hardware and so-called LUTs (Look up Tables) are basic of FPGAs logic. For example, n-LUT is MOS pass transistors multiplexer 2n-1 which input data receive SRAM cells logic function configuration (user’s projects Truth Table). Address inputs LUT variables. Therefore, we get one n-arguments for actual configuration. To m fu...

Color lookup tables (CLUTs) that are embedded in printer firmware consume precious flash memory. In order to conserve memory and thereby reduce cost, it is desirable to compress CLUTs prior to storage and restore tables as required. In this paper, we investigate methods for lossless compression of CLUTs. We demonstrate that, through suitable pre-processing of data, significant improvements in c...

This paper presents single-chip FPGA Rijndael algorithm implementations of the Advanced Encryption Standard (AES) algorithm, Rijndael. In particular, the designs utilise look-up tables to implement the entire Rijndael Round function. A comparison is provided between these designs and similar existing implementations. Hardware implementations of encryption algorithms prove much faster than equiv...