@article{3065764,
    title = "On base and turyn sequences",
    author = "Koukouvinos, C. and Kounias, S. and Sotirakoglou, K.",
    journal = "Mathematics of Computation",
    year = "1990",
    volume = "55",
    number = "192",
    pages = "825-837",
    issn = "0025-5718, 1088-6842",
    doi = "10.1090/S0025-5718-1990-1023764-7",
    abstract = "Base sequences of lengths n + 1, n + 1, n, n are constructed for all decompositions of 4/1 + 2 into four squares for n = 19,., 24. The construction is achieved through an algorithm which is also presented. It is proved through an exhaustive search that Turyn sequences do not exist for n = 18,., 27; since Turyn sequences cannot exist for n = 28 or 29, the first unsettled case is n = 30. © 1990 American Mathematical Society."
}