2 problems
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The conjecture that 2-phase Golay numbers are the only lengths of 2-phase Golay complementary sequences
Golay-number conjecture. The 2-phase Golay numbers are the only possible lengths for 2-phase GCSs.
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Borwein's conjecture on the lengths of binary Golay complementary pairs
Borwein's conjecture. Binary Golay complementary pairs are available only for lengths of the form , where , , and are non-negative integers.