精品文档---下载后可任意编辑GF(3)上的新型双向输出自缩控生成器的开题报告Title: A New Bidirectional Output Self-shrinking Controlled Generator over GF(3)Introduction: Stream ciphers are widely used in secure communication systems to provide confidentiality and authentication. The self-shrinking generator is a type of stream cipher that generates pseudorandom bits by using a shift register and a nonlinear filter. It has been proven to be secure against a variety of attacks and is widely used in many applications. In this project, a new bidirectional output self-shrinking controlled generator over GF(3) will be designed and analyzed. GF(3) is a Galois Field with three elements, {0, 1, 2}, and is suitable for cryptographic applications. The generator will be designed to have bidirectional output, meaning it can generate pseudo-random bits in both forward and backward directions. Objectives: - To design a new bidirectional output self-shrinking controlled generator over GF(3)- To analyze the cryptographic properties of the generator, including linear and differential properties, autocorrelation, resilience, and nonlinearity- To implement the generator using a programming language such as Python- To compare the performance of the new generator with other existing self-shrinking generators over GF(3)Methodology: The design of the new bidirectional output self-shrinking controlled generator over GF(3) will involve using a shift register and feedback from a nonlinear filter. The filter will be designed to have balanced nonlinear properties to ensure the generator is secure against attacks. The cryptographic properties of the generator will be analyzed using statistical tests such as linear and differential analysis, autocorrelation analysis, resilience analysis, and 精品文档---下载后可任意编辑nonlinearity analysis. These tests will evaluate the security and randomness of the generator's output.The implementation of the generator will be done using a programming language such as Python. The generator will be tested for performance, including speed and efficiency, and compared with other existing self-shrinking generators over GF(3).Expected Results: The expected results of this project include a new bidirectional output self-shrinking controlled generator over GF(3) with good statistical properties. The generator's cryptographic properties will be analyzed and compared with other existing generators, and the implementation of the generator will be done using Python. The results of this project will contribute to the development of more secure and efficient stream ciphers for use in secure communication systems.