Improving Video Watermarking through Galois Field GF(2^(4)) Multiplication Tables with Diverse Irreducible Polynomials and Adaptive Techniques

Video watermarking plays a crucial role in protecting intellectual property rights and ensuring content authenticity.This study delves into the integration of Galois Field(GF)multiplication tables,especially GF(2^(4)),and their interaction with distinct irreducible polynomials.The primary aim is to enhance watermarking techniques for achieving imperceptibility,robustness,and efficient execution time.The research employs scene selection and adaptive thresholding techniques to streamline the watermarking process.Scene selection is used strategically to embed watermarks in the most vital frames of the video,while adaptive thresholding methods ensure that the watermarking process adheres to imperceptibility criteria,maintaining the video's visual quality.Concurrently,careful consideration is given to execution time,crucial in real-world scenarios,to balance efficiency and efficacy.The Peak Signal-to-Noise Ratio(PSNR)serves as a pivotal metric to gauge the watermark's imperceptibility and video quality.The study explores various irreducible polynomials,navigating the trade-offs between computational efficiency and watermark imperceptibility.In parallel,the study pays careful attention to the execution time,a paramount consideration in real-world scenarios,to strike a balance between efficiency and efficacy.This comprehensive analysis provides valuable insights into the interplay of GF multiplication tables,diverse irreducible polynomials,scene selection,adaptive thresholding,imperceptibility,and execution time.The evaluation of the proposed algorithm's robustness was conducted using PSNR and NC metrics,and it was subjected to assessment under the impact of five distinct attack scenarios.These findings contribute to the development of watermarking strategies that balance imperceptibility,robustness,and processing efficiency,enhancing the field's practicality and effectiveness.

On the Charges and Currents in the Quantum Field Theory

This paper is concerned with the determination of currents and charges in hypercomplex extensions of the Feynman-Dyson derivation of the Maxwell-Faraday equations. We analyze the appearance of charges and currents in non-Abelian versions of that approach: SU(2), SU(3) and G2. The structure constants of G2 Lie algebra are computed explicitly. Finally, we suggest a seven-dimensional treatment of color.

CONTRACEPTIVE PREVALENCE AND USE－EFFECTIVENESS OF MARRIED WOMEN OF REPRODUCTIVE AGE IN THE RURAL AREAS OF SHAANXI PROVINCE

In order to study women's fertility and behavior in shaanxi Province, we used PPS method to sample Weinan, Nanzheng and Yan'an counties which represent the centre, south and north of Shaanxi respectively from February to March in 1990. 3253 qualified married women of reproductive age were available. Because contraception is one of the most imPOrtant proximate determinants in inhibiting fertility, we just measured contraceptive prevalence and use-effectiveness among different subgroups in this dissertation. The results indicated that the prevalence rate of contraception was 75. 9 %, prevalence of different contraceptive methods varied widely: it was 43. 5% in IUD, 27. 7% in women'sterilization, 2. 0% in pill, 1.9% in men's sterilization, 0. 2% in condom and 0. 7 % in other methods, The average use-effectiveness of three methods was 0. 9965 for sterilization,0. 8792 for IUD and 0. 8520 for other methods and total average use-effectiveness was 0. 9251.

Normal Bases and Their Dual-Bases over Finite Fields

In this paper, we prove the following results： 1） A normal basis N over a finite field is equivalent to its dual basis if and only if the multiplication table of N is symmetric; 2） The normal basis N is self-dual if and only if its multiplication table is symmetric and Tr（α^2） = 1, where α generates N; 3） An optimal normal basis N is self-dual if and only if N is a type-Ⅰ optimal normal basis with q = n = 2 or N is a type-Ⅱ optimal normal basis.