code preserving permutation

简明释义

保码排列

英英释义

例句

1.A code preserving permutation 编码保持置换 is crucial in error correction coding techniques.

在错误更正编码技术中，编码保持置换是至关重要的。

2.When designing a secure communication system, one must consider code preserving permutations 编码保持置换 for effective encryption.

在设计安全通信系统时，必须考虑编码保持置换以实现有效的加密。

3.The algorithm uses a code preserving permutation 编码保持置换 to maintain data integrity during transmission.

该算法使用编码保持置换来在传输过程中保持数据完整性。

4.In cryptography, a code preserving permutation 编码保持置换 ensures that the original message can be retrieved without loss of information.

在密码学中，编码保持置换 确保原始信息可以无损失地恢复。

5.In combinatorial optimization, finding a code preserving permutation 编码保持置换 can lead to more efficient solutions.

在组合优化中，找到一个编码保持置换可以导致更高效的解决方案。

作文

In the realm of computer science and information theory, the concept of a code preserving permutation plays a crucial role in ensuring data integrity during transformations. A code preserving permutation refers to a rearrangement of elements in a sequence that maintains the original structure of the data while allowing for its effective manipulation. This is particularly important in coding theory, where the preservation of information is paramount.Consider a simple example: suppose we have a string of characters that represents a piece of data. If we apply a code preserving permutation, we might rearrange the characters without changing their inherent values. For instance, transforming 'abc' into 'cab' is a code preserving permutation because the same characters are present, just in a different order. This kind of operation is essential when we want to encode or encrypt data securely while still being able to retrieve the original information later.The significance of code preserving permutations extends beyond mere data manipulation. In cryptography, they are used to create secure encryption algorithms that protect sensitive information from unauthorized access. By applying a code preserving permutation, we can obscure the original data, making it nearly impossible for an outsider to decipher the contents without the proper key or method to reverse the permutation.Moreover, in error detection and correction, code preserving permutations enable systems to identify and rectify mistakes that may occur during data transmission. By ensuring that the sequence of data remains intact despite potential disruptions, these permutations help maintain the reliability of communication channels. This is especially critical in fields such as telecommunications and computer networking, where data integrity is vital.Another fascinating application of code preserving permutations is found in combinatorial designs and mathematical structures. In these areas, researchers explore how different arrangements of elements can lead to unique outcomes while preserving specific properties. For instance, in the design of error-correcting codes, code preserving permutations allow for the construction of robust systems that can withstand data loss and corruption.In conclusion, the concept of a code preserving permutation is integral to various disciplines within computer science and mathematics. It not only facilitates the manipulation of data but also ensures that the essential characteristics of the original information remain intact. As technology continues to advance, the importance of understanding and utilizing code preserving permutations will only grow, paving the way for more secure and reliable systems in our increasingly digital world.

在计算机科学和信息理论的领域中，代码保留置换的概念在确保数据在变换过程中的完整性方面起着至关重要的作用。代码保留置换是指对序列中元素的重新排列，它在有效操作的同时保持了数据的原始结构。这在编码理论中尤为重要，因为信息的保留至关重要。考虑一个简单的例子：假设我们有一个字符字符串，代表一段数据。如果我们应用代码保留置换，我们可能会在不改变其固有值的情况下重新排列字符。例如，将'ab'转变为'cab'就是一种代码保留置换，因为相同的字符存在，只是顺序不同。这种操作在我们希望安全地编码或加密数据，同时仍能在后期检索原始信息时至关重要。代码保留置换的重要性不仅限于简单的数据操作。在密码学中，它们被用来创建保护敏感信息免受未经授权访问的安全加密算法。通过应用代码保留置换，我们可以模糊原始数据，使得外部人员几乎不可能在没有适当密钥或方法来逆转置换的情况下解读内容。此外，在错误检测和纠正中，代码保留置换使系统能够识别和纠正在数据传输过程中可能发生的错误。通过确保尽管可能出现干扰，数据的序列仍然保持完整，这些置换有助于维护通信渠道的可靠性。这在电信和计算机网络等领域尤其关键，因为数据的完整性至关重要。代码保留置换的另一个迷人应用发现于组合设计和数学结构中。在这些领域中，研究人员探索元素的不同排列如何在保留特定属性的同时产生独特的结果。例如，在错误更正码的设计中，代码保留置换允许构建能够抵御数据丢失和损坏的强大系统。总之，代码保留置换的概念在计算机科学和数学的各个学科中都是不可或缺的。它不仅促进了数据的操作，还确保了原始信息的基本特征保持不变。随着技术的不断发展，理解和利用代码保留置换的重要性只会增加，为我们日益数字化的世界铺平道路，创造更安全、更可靠的系统。