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- W4313646536 abstract "In this paper, we are devoted to finding Goethals–Seidel sequences by using k-partition, and based on the finite Parseval relation, the construction of Goethals–Seidel sequences could be transformed to the construction of the associated polynomials. Three different structures of Goethals–Seidel sequences will be presented. We first propose a method based on T-matrices directly to obtain a quad of Goethals–Seidel sequences. Next, by introducing the k-partition, we utilize two classes of 8-partitions to obtain a new class of polynomials still remaining the same (anti)symmetrical properties, with which a quad of Goethals–Seidel sequences could be constructed. Moreover, an adoption of the 4-partition together with a quad of four symmetrical sequences can also lead to a quad of Goethals–Seidel sequences." @default.
- W4313646536 created "2023-01-07" @default.
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- W4313646536 date "2023-01-06" @default.
- W4313646536 modified "2023-09-25" @default.
- W4313646536 title "Constructions of Goethals–Seidel Sequences by Using k-Partition" @default.
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- W4313646536 doi "https://doi.org/10.3390/math11020294" @default.
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