Bose-Chaudhuri Hocquenghem error control code

简明释义

BCH差错控制码

英英释义

Bose-Chaudhuri Hocquenghem (BCH) error control code is a type of cyclic error-correcting code that is used to detect and correct multiple random errors in data transmission.

Bose-Chaudhuri Hocquenghem (BCH) 误差控制编码是一种循环纠错码,用于检测和纠正数据传输中的多个随机错误。

It was developed by Raj Bose, D. K. Chaudhuri, and Alexandre Hocquenghem in the 1960s and is widely used in digital communication systems.

该编码由Raj Bose、D. K. Chaudhuri和Alexandre Hocquenghem在1960年代开发,广泛应用于数字通信系统中。

BCH codes are characterized by their ability to correct multiple errors and are defined by their generator polynomial.

BCH编码的特点是能够纠正多个错误,并通过其生成多项式来定义。

例句

1.The efficiency of Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 makes it a preferred choice in satellite communications.

由于高效性,Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 成为卫星通信中的首选。

2.The Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 can correct multiple random errors in transmitted data.

在传输数据时,Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 可以纠正多个随机错误。

3.Researchers are exploring new variations of Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 to improve error correction capabilities.

研究人员正在探索新的Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 变体,以提高纠错能力。

4.In digital communication systems, the implementation of Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 is crucial for ensuring data integrity.

在数字通信系统中,实施Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 对于确保数据完整性至关重要。

5.When designing storage devices, engineers often rely on Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 to recover lost data.

在设计存储设备时,工程师通常依赖于Bose-Chaudhuri Hocquenghem error control code 博斯-乔杜里-霍克根姆纠错码 来恢复丢失的数据。

作文

In the realm of digital communication and data storage, the integrity of information is paramount. One of the significant advancements in error control mechanisms is the development of the Bose-Chaudhuri Hocquenghem error control code (BCH code). This coding technique is designed to enhance the reliability of data transmission over noisy channels. The BCH code is a type of cyclic error-correcting code that can correct multiple random errors in a block of data. It was formulated by Raj Chandra Bose and D. K. Ray-Chaudhuri in 1960 and later expanded by Alexis Hocquenghem. The fundamental idea behind the BCH code is to add redundant bits to the original data, which helps in identifying and correcting errors that may occur during transmission.The importance of the Bose-Chaudhuri Hocquenghem error control code lies in its ability to provide a robust solution for error detection and correction. In various applications, such as satellite communications, digital television, and data storage devices like CDs and DVDs, maintaining the accuracy of the transmitted data is crucial. Errors can arise from various sources, including electrical interference, signal degradation, and hardware malfunctions. The BCH code addresses these issues effectively by allowing the receiver to detect and correct errors without requiring retransmission of the data.One of the key features of the BCH code is its flexibility. It can be configured to correct different numbers of errors based on the requirements of the communication system. For instance, a BCH code can be designed to correct one, two, or even more errors per block, depending on the length of the code and the number of redundancy bits added. This adaptability makes the BCH code suitable for a wide range of applications, from low-error environments to high-error conditions where robust error correction is essential.Moreover, the mathematical foundation of the Bose-Chaudhuri Hocquenghem error control code is based on finite fields, which allows for efficient encoding and decoding processes. The use of algebraic structures ensures that the operations required for error correction can be performed quickly, making real-time communication feasible. This efficiency is particularly important in modern applications where speed and reliability are critical.In conclusion, the Bose-Chaudhuri Hocquenghem error control code represents a significant innovation in the field of error correction. Its ability to detect and correct multiple errors in transmitted data has made it an indispensable tool in various technological domains. As we continue to rely on digital communication systems, understanding and implementing effective error control codes like BCH will remain vital to ensuring data integrity and reliability. The ongoing advancements in this area promise to further enhance our capabilities in managing errors, ultimately leading to more robust and efficient communication technologies.

在数字通信和数据存储领域,信息的完整性至关重要。错误控制机制的一项重大进展是开发了Bose-Chaudhuri Hocquenghem错误控制码(BCH码)。这种编码技术旨在提高噪声信道上数据传输的可靠性。BCH码是一种循环纠错码,可以纠正数据块中的多个随机错误。它由拉杰·钱德拉·博斯和D.K.雷·乔杜里于1960年提出,并由亚历克西斯·霍克亨海姆进一步扩展。BCH码的基本思想是向原始数据添加冗余位,这有助于识别和纠正在传输过程中可能发生的错误。Bose-Chaudhuri Hocquenghem错误控制码的重要性在于其提供了一个强大的错误检测和纠正解决方案。在卫星通信、数字电视和CD、DVD等数据存储设备等各种应用中,保持传输数据的准确性至关重要。错误可能来自多种来源,包括电气干扰、信号衰减和硬件故障。BCH码有效地解决了这些问题,允许接收方在不需要重新传输数据的情况下检测和纠正错误。BCH码的一个关键特性是其灵活性。它可以根据通信系统的要求配置为纠正不同数量的错误。例如,BCH码可以设计为每个块纠正一个、两个甚至更多的错误,具体取决于代码的长度和添加的冗余位数。这种适应性使得BCH码适用于从低错误环境到高错误条件的广泛应用,在这些情况下,强大的错误纠正至关重要。此外,Bose-Chaudhuri Hocquenghem错误控制码的数学基础基于有限域,这使得编码和解码过程高效。代数结构的使用确保了进行错误纠正所需的操作可以快速执行,使实时通信成为可能。这种效率在现代应用中尤为重要,因为速度和可靠性至关重要。总之,Bose-Chaudhuri Hocquenghem错误控制码代表了错误纠正领域的一项重大创新。它在传输数据中检测和纠正多个错误的能力使其成为各个技术领域不可或缺的工具。随着我们继续依赖数字通信系统,理解和实施像BCH这样的有效错误控制码将对确保数据完整性和可靠性至关重要。该领域的持续进步有望进一步增强我们管理错误的能力,最终导致更强大和高效的通信技术。

相关单词

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