On bent ZCZ codes

Shinya Matsufuji, Takafumi Hayashi, Sho Kuroda, Yuta Ida, Takahiro Matsumoto · 2015

This paper discusses a set of sequences with a zero correlation zone such that their Fourier transform over GF(p) corresponding to the Hadamard transform over GF(p) takes only unit magnitude, called a bent ZCZ code. The constructions and properties of polyphase bent ZCZ codes of period pn including bi-phase and quadriphase ones are clarified.

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