# Low Correlation Zone Signal Sets

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Abstract:

In this talk, I will present a connection between designing low

correlation zone (LCZ) sequences and the results of correlation

of sequences with subfield decompositions. This results

in low correlation zone signal sets with huge sizes over three

different alphabetic sets: finite field of size $q$, integer

residue ring modulo $q$, and the subset in the complex field which

consists of powers of a primitive $q$-th root of unity. A connection between these

constructions and ``completely

non-cyclic'' Hadamard matrices will be shown. I will also provide some open problems

along this direction.

Joint work with Solomon W. Golomb and Hongyeop Song.