Abstract

This article presents our divide-and-conquer optimal algorithms for lightweight suffix array construction for constant alphabets. These algorithms can efficiently compute the suffix array of a size-n text T with an alphabet Σ using O(n log Σ) time and (l(T) + |Σ|log n + O(1))-bit working space (excluding the space for the output suffix array), where Σ is an integer or constant alphabet, and l(T) is the length of T measured in bits. For popular applications in practice with n ≤ 232 and |Σ| ≤ 256, these results translate into O(n) time and a total space of 5n + O(1) bytes, which are the optimal time and space complexities for lightweight suffix array construction.

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