The q-ary Golay complementary arrays of size 2^(m) are standard

07/10/2022

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by   Erzhong Xue, et al.

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To find the non-standard binary Golay complementary sequences (GCSs) of length 2^m or theoretically prove the nonexistence of them are still open. Since it has been shown that all the standard q-ary (where q is even) GCSs of length 2^m can be obtained by standard q-ary Golay complementary array pair (GAP) of dimension m and size 2× 2 ×⋯× 2 (abbreviated to size 2^(m)), it's natural to ask whether all the q-ary GAP of size 2^(m) are standard. We give a positive answer to this question.