Mutually orthogonal complementary sets (MOCSs) have found a number of practical applications in wireless communications and radar owing to their perfect aperiodic auto-correlation and cross-correlation properties. Recently, toward the challenge of designing MOCSs with non-power-of-two lengths, direct constructions were presented by Wu et al. using generalized Boolean functions (GBFs). In this letter, a new construction of MOCSs is proposed based on GBFs, which leads to MOCSs with flock size $2^{k+1}$ and length $2^m+2^t$ , whose set size is $1/2$ of the flock size, where integers $0\leq t< k\leq m$ . In addition, the constructed MOCSs can yield column sequence peak-to-mean envelope power ratio (PMEPR) of at most 2.

中文翻译：

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具有非二次幂长度的新互正交互补集

互正交互补集（MOCS）由于其完美的非周期性自相关和互相关特性而在无线通信和雷达中找到了许多实际应用。最近，面对设计非二次幂长度的MOCS的挑战，Wu提出了直接构造。等。使用广义布尔函数（GBF）。在这封信中，提出了基于GBF的MOCS的新构造，这导致MOCS的群大小$ 2 ^ {k + 1} $ 和长度 $ 2 ^ m + 2 ^ t $ ，其设置大小为 $ 1/2 $ 群大小的整数，其中整数 $ 0 \ leq t <k \ leq m $ 。此外，构建的MOCS可以产生至多2的列序列峰均包络功率比（PMEPR）。