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Lam, Clement W. H.

N-th power residue addition sets. (English) Zbl 0334.05030

J. Comb. Theory, Ser. A 20, 20-33 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0334.05030

Cited in 4 Documents

MSC:

05B30 Other designs, configurations
05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)
11A07 Congruences; primitive roots; residue systems
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References:

[1] Baumert, L. D., Cyclic Difference Sets, (Lecture Notes in Mathematics, Vol. 182 (1971), Springer-Verlag) · Zbl 0218.05009
[2] Dickson, L. E., Cyclotomy, higher congruences and Waring’s problem, Amer. J. Math., 57, 463-474 (1935) · Zbl 0012.29004
[3] Hall, M., A survey of difference sets, (Proc. Amer. Math. Soc., 7 (1956)), 975-986 · Zbl 0077.05202
[4] Lam, C. W.H, Rational \(g\)-circulants satisfying the matrix equation \(A2 = dI + λJ \), (Ph.D. Thesis (1974), Calif. Inst. of Tech.)
[5] Lam, C. W.H, A generalization of cyclic difference sets 1, J. Combinatorial Theory, Ser. A, 19, 51-65 (1975) · Zbl 0303.05017
[6] Lam, C. W. H.; Lam, C. W. H.
[7] Lehmer, E., On residue difference sets, Canad. J. Math., 5, 425-432 (1953) · Zbl 0052.03904
[8] Lehmer, E., On the number of solutions of \(u^k + D = w^2\) (mod \(p)\), Pac. J. Math., 5, 103-118 (1955) · Zbl 0064.27803
[9] Storer, T., Cyclotomy and Difference Sets (1967), Markham: Markham Chicago · Zbl 0157.03301
[10] Whiteman, A. L., The cyclotomic numbers of order ten, (Proc. Sym. in Appl. Math., 10 (1960), A.M.S.), 95-111 · Zbl 0096.02604
[11] Whiteman, A. L., The cyclotomic numbers of order twelve, Acta Arith., 6, 53-76 (1960) · Zbl 0091.04302
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