C与C++密码学实践:大数运算与模指数运算解析

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"Cryptography in C and Cpp 4th edition 是一本专注于密码学在C和C++语言中的应用的书籍,内容涵盖了大量的加密算法和技术。" 本书旨在深入探讨C和C++编程语言中的密码学基础和实践,通过清晰的英文文本向读者展示如何在这些语言中实现安全的加密算法。书中的内容包括了数学基础、数字表示法、接口语义、基本运算(如加减乘除)、模算术以及重要的指数运算等核心概念。 1. **介绍**: 本书的开篇介绍了密码学的基本概念,以及为何在C和C++中实现密码算法的重要性,为后续章节奠定了基础。 2. **数字格式与大数表示**: 这一章讲解了在C语言中如何表示和处理大数,这对于实现许多密码学算法至关重要,因为它们经常涉及超出标准整型范围的计算。 3. **接口语义**: 接口语义是编程中的关键部分,特别是在涉及低级别语言如C和C++时,理解函数调用和数据传递的细节对于正确实现密码算法至关重要。 4. **基本运算**: 书中详细讨论了加法、减法、乘法和除法的实现,包括不同的乘法算法,如格雷戈里-克拉姆算法(Grade School Method)、快速平方法以及卡塔诺比亚算法(Karatsuba Algorithm)。 5. **模算术与余数类计算**: 模算术是密码学中的重要工具,这一章解释了如何进行模运算以及如何利用余数类进行计算,这对于理解公钥密码系统如RSA的基础至关重要。 6. **模幂运算**: 本章详细阐述了模幂运算的不同方法,包括初等方法、M-ary exponentiation、加法链和窗口技术,以及蒙哥马利缩减和指数运算,这些都是高效实现如RSA加密和解密的关键。 6.5小节特别提到了指数运算在密码学中的应用,这通常涉及到公钥密码体制,如RSA和椭圆曲线密码学,其中指数运算的效率直接影响到系统的安全性与性能。 该书对于希望深入了解密码学原理以及在C和C++中实现这些原理的开发者来说是一份宝贵的资源。它不仅涵盖了理论知识,还提供了实用的代码示例,帮助读者将理论应用于实际项目中。通过阅读本书,读者可以掌握创建安全通信和数据保护机制所需的技能。

Casola, V., & Castiglione, A. (2020). Secure and Trustworthy Big Data Storage. Springer. Corriveau, D., Gerrish, B., & Wu, Z. (2020). End-to-end Encryption on the Server: The Why and the How. arXiv preprint arXiv:2010.01403. Dowsley, R., Nascimento, A. C. A., & Nita, D. M. (2021). Private database access using homomorphic encryption. Journal of Network and Computer Applications, 181, 103055. Hossain, M. A., Fotouhi, R., & Hasan, R. (2019). Towards a big data storage security framework for the cloud. In Proceedings of the 9th Annual Computing and Communication Workshop and Conference (CCWC), Las Vegas, USA (pp. 402-408). Rughani, R. (2019). Analysis of Security Issues and Their Solutions in Cloud Storage Environment. International Journal of Computer Trends and Technology (IJCTT), 67(6), 37-42. van Esbroeck, A. (2019). Zero-Knowledge Proofs in the Age of Cryptography: Preventing Fraud Without Compromising Privacy. Chicago-Kent Journal of Intellectual Property, 19, 374. Berman, L. (2021). Watch out for hidden cloud costs. CFO Dive. Retrieved from https://www.cfodive.com/news/watch-out-for-hidden-cloud-costs/603921/ Bradley, T. (2021). Cloud storage costs continue to trend downward. Forbes. Retrieved from https://www.forbes.com/sites/tonybradley/2021/08/27/cloud-storage-costs-continue-to-trend-downward/?sh=6f9d6ade7978 Cisco. (2019). Cost optimization in the multicloud. Cisco. Retrieved from https://www.cisco.com/c/dam/en/us/solutions/collateral/data-center-virtualization/cloud-cost-optimization/cost-optimization_in_multicloud.pdf IBM. (2020). Storage efficiency solutions. IBM. Retrieved from https://www.ibm.com/blogs/systems/storage-efficiency-solutions/ Microsoft Azure. (n.d.). Azure Blob storage tiers. Microsoft Azure. Retrieved from https://azure.microsoft.com/en-us/services/storage/blobs/#pricing Nawrocki, M. (2019). The benefits of a hybrid cloud strategy for businesses. DataCenterNews. Retrieved from https://datacenternews.asia/story/the-benefits-of-a-hybrid-cloud-strategy-for,请把这一段reference list改为标准哈佛格式

2023-05-29 上传

python报错:Traceback (most recent call last): File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/lambda_function.py", line 1, in <module> import paramiko File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/paramiko/__init__.py", line 22, in <module> from paramiko.transport import SecurityOptions, Transport File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/paramiko/transport.py", line 91, in <module> from paramiko.dsskey import DSSKey File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/paramiko/dsskey.py", line 25, in <module> from cryptography.hazmat.primitives import hashes, serialization File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/primitives/serialization/__init__.py", line 16, in <module> from cryptography.hazmat.primitives.serialization.base import ( File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/primitives/serialization/base.py", line 9, in <module> from cryptography.hazmat.primitives.asymmetric.types import ( File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/primitives/asymmetric/types.py", line 7, in <module> from cryptography.hazmat.primitives.asymmetric import ( File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/primitives/asymmetric/dsa.py", line 10, in <module> from cryptography.hazmat.primitives.asymmetric import utils as asym_utils File "/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/primitives/asymmetric/utils.py", line 6, in <module> from cryptography.hazmat.bindings._rust import asn1 ImportError: dlopen(/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/bindings/_rust.abi3.so, 0x0002): tried: '/Users/pengwen/Downloads/bancolombia_handle_missing_response_check-5464fe09-589d-4dac-86e1-372cfb18c608/cryptography/hazmat/bindings/_rust.abi3.so' (not a mach-o file)

2023-07-11 上传