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J. Singer, A theorem in nite projective geometry and some applications to number theory, Trans. Am. Math. Soc. 43 (1938), 377-385.

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Sets in Z_n with Distinct Sums of Pairs - Haanpää, Huima, Östergård (2002)   (Correct)

....is directly applicable. By a simple volume argument, we know that v (k) k(k 1) 1: from a k subset, k(k 1) di erences can be formed, none of which is zero and no two of which may be equal. When k 1 is a prime power, a cyclic di erence set construction by Singer shows that the bound is sharp [11]. The series of values of k that are not settled by this result is thus 7; 11; 13; 15; 16; Also, when k is a prime power, another cyclic di erence set construction by Bose [2] shows that v (k) k 1. In [6] it is shown that v (7) 48, and our calculations show that the bound by Bose ....

J. Singer, A theorem in nite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. 43 (1938) 377-385.


New Designs for Signal Sets with Low Cross-correlation, Balance.. - Gong (2000)   (Correct)

....out some confusion in the literature. At last, we will discuss the balance property of 2 level auto correlation sequences. 2.1 Known Constructions for p ary Sequences of Period v with 2 level Auto correlation The rst three classic constructions: A. For v = p n 1, all n 2, we have m sequences [39] [9] 43] B. For v = p n 1, if n 6, n composite, we have GMW [37] and generalized GMW sequences [8] 23] 10] Note that a general construction for the generalized GMW sequences have not been explicitly stated in the literature. We will present it later in this section. C. Number theory ....

J. Singer, A theorem in nite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. 43, pp. 377-385, 1-38.


On the orbits of Singer groups and their subgroups - Drudge (2001)   Self-citation (Singer)   (Correct)

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J. Singer, A theorem in nite projective geometry and some applications to number theory, Trans. Am. Math. Soc. 43 (1938), 377-385.


On Hypergraphs of Girth Five - Lazebnik, Verstraëte (2003)   (Correct)

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Singer J., A theorem in nite projective geometry and some applications to number theory, Trans. Amer. Math. 43 1938 377-385.

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