In this paper we construct a quaternary cyclic code which is analogous in many respects to the cy... more In this paper we construct a quaternary cyclic code which is analogous in many respects to the cyclic simplex binary code. Apl~lications are codes for the hermitian distance, and quadriphase sequences with low correlation properties. Our family of sequences improve on all previously known constructions of sequences both binary and quaternary. Ingredients of the proof are properties of recurrences over finite rings and an association scheme occurring in the construction of a certain distance-regular digraph of diameter 3 . A possible connection with p -adic analysis is pointed out.
In this paper we construct a quaternary cyclic code which is analogous in many respects to the cy... more In this paper we construct a quaternary cyclic code which is analogous in many respects to the cyclic simplex binary code. Apl~lications are codes for the hermitian distance, and quadriphase sequences with low correlation properties. Our family of sequences improve on all previously known constructions of sequences both binary and quaternary. Ingredients of the proof are properties of recurrences over finite rings and an association scheme occurring in the construction of a certain distance-regular digraph of diameter 3 . A possible connection with p -adic analysis is pointed out.
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