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

2022/07/10 by Erzhong Xue, Zilong Wang, Xue, Erzhong +1
Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Wireless Communication Networks Research #cs.IT #graph theory and CDMA systems #math.IT

paper · pdf · doi:10.48550/arxiv.2207.04374

arxiv created 2022/07/10 · openalex publication_date 2022/07/10 · arxiv updated 2022/07/12 · openalex created_date 2022/07/13 · openalex updated_date 2026/07/28

Abstract

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.

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