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{{harvtxt|Li|Li|Huo|2016}} gave the first in-place <math>\mathcal{O}(n)</math> time suffix array construction algorithm that is optimal both in time and space, where ''in-place'' means that the algorithm only needs <math>\mathcal{O}(1)</math> additional space beyond the input string and the output suffix array.
[[Enhanced suffix
The suffix array for a subset of all suffixes of a string is called [[sparse suffix array]].{{sfn|I|Kärkkäinen|Kempa|2014}} Multiple probabilistic algorithms have been developed to minimize the additional memory usage including an optimal time and memory algorithm.{{sfn|Gawrychowski|Kociumaka|2017}}
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