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The Frank bound for perfect sequences over simple unit quaternions
A perfect sequence is a sequence whose nontrivial periodic autocorrelations vanish. The alphabet of a sequence is the set of symbols from which its entries are drawn; here the alph…
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The length-64 bound for perfect simple-unit-quaternion sequences with the AOP
Length-64 conjecture. The longest perfect sequence over the simple unit quaternions with the AOP is of length . This conjecture is motivated by an exhaustive random search that…