Binomial p-ary sequences form a basis for the vector space over F_p of all p-ary sequences with period a power of p.
Mathematics (8), 1–26 (2020) https://doi
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A bijection and reverse-ANF representation are introduced to link Boolean functions with binary sequences of period 2^k and to study generalized self-shrinking sequences.
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Binomial sequences over prime fields
Binomial p-ary sequences form a basis for the vector space over F_p of all p-ary sequences with period a power of p.
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A New Representation of Binary Sequences by means of Boolean Functions
A bijection and reverse-ANF representation are introduced to link Boolean functions with binary sequences of period 2^k and to study generalized self-shrinking sequences.