The linear span of a sequence is the smallest degree of a linear recursion satisfied by the sequence. An overview of some of the techniques that have been used in the past to construct single or families of sequences having desirable correlation properties will be provided, with an emphasis on those sequences that also have large linear span. It is planned to discuss bent functions and sequences, GMW, No sequences and their generalizations, sequences derived using Galois rings as well as those arising from hyperovals.

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