This article presents a class of integer codes that are suitable for use in optical computer networks in which the data are transmitted serially. The presented codes are constructed with the help of a computer and have three desirable properties. First, they use integer and lookup table operations, which make them suitable for software implementation. Second, depending on the application requirements, the proposed codes can be used as low-rate error correction (EC) codes or as high-rate error detection (ED) codes. In the EC mode, which is suited for real-time applications, the receiver can correct all single and double errors, as well as all triple-adjacent (TA) errors within one ${b}$ -bit byte. On the other hand, if the integrity of data is of high importance, the receiver may operate in the ED mode. In that case, it is able to detect all quadruple errors, all double TA errors within one ${b}$ -bit byte, and all double TA errors within two ${b}$ -bit bytes. Finally, it is important to note that the presented codes can be interleaved without delay and without using any additional hardware. Owing to this, it is possible to construct simple codes capable of detecting/correcting multiple TA and random errors.

中文翻译：

---

纠正一个字节内的双重错误和三重相邻错误的整数代码

本文介绍了一类适用于串行传输数据的光计算机网络的整数代码。所呈现的代码是在计算机的帮助下构建的，具有三个理想的特性。首先，它们使用整数和查找表操作，这使得它们适用于软件实现。其次，根据应用要求，所提出的代码可以用作低速率纠错 (EC) 代码或高速错误检测 (ED) 代码。在适合实时应用的 EC 模式下，接收器可以纠正所有单双误码，以及所有三邻 (TA) 误码。 ${b}$ -位字节。另一方面，如果数据的完整性非常重要，则接收器可以在 ED 模式下运行。在这种情况下，它能够检测所有四重错误，所有双 TA 错误都在一个 ${b}$ -bit 字节，以及两个内的所有双 TA 错误 ${b}$ -位字节。最后，重要的是要注意所呈现的代码可以无延迟地进行交织，并且无需使用任何额外的硬件。因此，可以构建能够检测/纠正多个 TA 和随机错误的简单代码。