A mapping j : GF(q) --> GF(q) is called planar if for every nonzero a. E GF(q) the difference mapping D I.a : x I-t j(x + a) j(x) j(a) is a permutation of GF(q). In this note we show that for certain choices of (3, 'Y the mapping j(:z;) = Tl'({3x CJ+1 ) + -fX~ is planar on GF(q~-J).

Low Density Parity Check (LDPC) codes over GF(2) are an extension of binary LDPC codes that have not been studied extensively. Performances of GF(2) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of hardware implementations for LDPC over GF(2) codes. This paper presents a FPGA serial implem...

Forsythiae Fructus (FF), the dried fruit of Forsythia suspensa, has been widely used as a heat-clearing and detoxifying herbal medicine in China. Green FF (GF) and ripe FF (RF) are fruits of Forsythia suspensa at different maturity stages collected about a month apart. FF undergoes a complex series of physical and biochemical changes during fruit ripening. However, the clinical uses of GF and R...

OBJECTIVE The objective of this trial was to study the effects of fenofibrate (FF) and gemfibrozil (GF), the most commonly used fibrates, on high-density lipoprotein (HDL) and apolipoprotein (apo) A-I. METHODS AND RESULTS In a head-to-head double-blind clinical trial, both FF and GF decreased triglycerides and increased HDL cholesterol levels to a similar extent, whereas plasma apoA-I only in...

This paper proposes a compact and efficient GF (2) inversion circuit design based on a combination of non-redundant and redundant Galois Field (GF) arithmetic. The proposed design utilizes redundant GF representations, called Polynomial Ring Representation (PRR) and Redundantly Represented Basis (RRB), to implement GF (2) inversion using a tower field GF ((2)). In addition to the redundant repr...

In this paper we present a new method for fast scalar multiplication on el-liptic curves over GF (p) in FPGA using Edwards and twisted Edwards curves over GF (p 3). The presented solution works for curves with prime group order (for example for all NIST curves over GF (p)). It is possible because of using 2-isogenous twisted Edwards curves over GF (p 3) instead of using short Weierstrass curves...

In this paper, in order to reduce the hardware complexity, the S-Box based on composite field arithmetic (CFA) technology is optimized by using Genetic Algorithm (GA) and Cartesian Genetic Programming (CGP) model. Firstly, the multiplicative inverse (MI) over GF(2) is mapped into composite field GF((2)) by using the CFA technique. Secondly, the compact circuit of MI over GF(2) is selected from ...

Many studies are concerned with the bivariate relationships between Openness, fluid intelligence (Gf), and crystallized intelligence (Gc). Results suggest an influence of Gf and Openness on Gc. However, the overlap between Gf and Openness is rarely controlled for. Moreover, interaction effects or longitudinal influences are also often neglected. The present two studies aimed to elucidate exactl...