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Extended Boolean functions (EBFs) are one of the most important tools incryptography and spreading sequence design in communication systems. In thispaper, we use EBFs to design new sets of spreading sequences for non-orthogonalmultiple access (NOMA), which is an emerging technique capable of supportingmassive machine-type communications (mMTC) in 5G and beyond. In this work,first $p$-ary complementary sequences are constructed using EBFs and then,these sequences are used to design new sets of non-orthogonal spreadingsequence sets having very low coherence and peak to average power ratio (PAPR).The proposed spreading sequence sets are capable of supporting a large numberof active devices simultaneously. In fact, for a $p$-ary spreading sequenceset, we theoretically achieve an overloading factor of $2p$, where $p$ is anodd prime. Specifically, for $p=3$, we achieve an overloading factor of $6$,which cannot be achieved through the existing constructions till date.

New sets of Non-Orthogonal Spreading Sequences With Low Correlation and Low PAPR Using Extended Boolean Functions