One of the important applications of Golay complementary sets (GCSs) is the reduction of peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. OFDM has played a major role in modern wireless systems such as long-term-evolution (LTE), 5th generation (5G) wireless standards, etc. This paper searches for systematic constructions of GCSs of arbitrary lengths and alphabet sizes. The proposed constructions are based on extended Boolean functions (EBFs). For the first time, we can generate codes of independent parameter choices.

翻译：戈莱互补集(GCSs)的一个重要应用是降低正交频分复用(OFDM)系统中的峰均包络功率比(PMEPR)。OFDM在现代无线系统中发挥着重要作用，例如长期演进(LTE)、第五代(5G)无线标准等。本文研究了任意长度和字母表大小的GCS的系统构造方法。所提出的构造基于扩展布尔函数(EBFs)。我们首次能够生成具有独立参数选择的码。