Crosstalk fault on the chip wires seriously jeopardizes data reliability. One of the most effective methods to reduce crosstalk fault is crosstalk fault avoidance coding (CAC) based on numeral systems. CAC methods reduce crosstalk fault by preventing certain transitions from occurring. Improved One-Lambda Coding (IOLC) demonstrates the best performance among all types of CAC methods since it shows the least delay and area occupancy overhead. However, designers of larger-width buses need a systematic framework for generating cost-effective Improved One-Lambda Codes (IOLC). Such a framework should have two distinctive features: Firstly, it should specify the number of code words in each particular width, which is referred to as cardinality. Secondly, it should provide an algorithm for producing complete and unambiguous numeral systems. In this paper, the following items have been provided to achieve these two features. 1) A recursive formula called recursive symmetry has been proposed to determine the extent of cardinality for Improved One-Lambda Coding. 2) Using the recursive symmetry formula, an algorithm has been developed to generate different numeral systems for Improved One-Lambda Coding. The evaluation results showed that sending code words through the Improved One-Lambda Coding method using our proposed algorithm improves the status of delay in the worst cases

芯片线上的串扰故障严重危及数据可靠性。减少串扰故障最有效的方法之一是基于数字系统的串扰故障避免编码（CAC）。CAC 方法通过防止发生某些转换来减少串扰故障。改进的一拉姆达编码 (IOLC) 展示了所有类型的 CAC 方法中的最佳性能，因为它显示了最少的延迟和面积占用开销。然而，较大宽度总线的设计人员需要一个系统框架来生成具有成本效益的改进的单λ码 (IOLC)。这样的框架应该有两个鲜明的特点：首先，它应该指定每个特定宽度的码字数，称为基数。其次，它应该提供一种生成完整和明确的数字系统的算法。在本文中，提供了以下项目来实现这两个功能。1) 已经提出了一种称为递归对称性的递归公式来确定改进的 One-Lambda 编码的基数范围。2) 使用递归对称公式，开发了一种算法来生成不同的数字系统，用于改进的单λ编码。评估结果表明，使用我们提出的算法通过改进的一拉姆达编码方法发送码字改善了最坏情况下的延迟状态 已经开发了一种算法来为改进的单λ编码生成不同的数字系统。评估结果表明，使用我们提出的算法通过改进的一拉姆达编码方法发送码字改善了最坏情况下的延迟状态 已经开发了一种算法来为改进的单λ编码生成不同的数字系统。评估结果表明，使用我们提出的算法通过改进的一拉姆达编码方法发送码字改善了最坏情况下的延迟状态