Difference set (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Difference set" in English language version.

Last modified: 11:12:14, 5 September 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

1818zbmath.org

2,089^th place

1,141^st place

1010archive.org

6^th place

1010doi.org

2^nd place

11arxiv.org

49^th place

31^st place

11jstor.org

23^rd place

15^th place

11semanticscholar.org

15^th place

8^th place

archive.org (Global: 6^th place; English: 6^th place)

Wallis 1988, p. 61 - Theorem 4.5 Wallis, W.D. (1988). Combinatorial Designs. Marcel Dekker. ISBN 0-8247-7942-8. Zbl 0637.05004.
Colbourn & Dinitz 2007, p. 420 (18.7 Remark 2) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 420 (18.7 Remark 1) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 420 (Remark 18.9) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Beth, Jungnickel & Lenz 1986, p. 280 (Theorem 4.6) Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001
Colbourn & Dinitz 2007, pp. 422-425 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 425 (Construction 18.49) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Wallis 1988, p. 69 Wallis, W.D. (1988). Combinatorial Designs. Marcel Dekker. ISBN 0-8247-7942-8. Zbl 0637.05004.
Beth, Jungnickel & Lenz 1986, p. 275 Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001
Beth, Jungnickel & Lenz 1986, p. 310 (2.8.a) Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001

arxiv.org (Global: 49^th place; English: 31^st place)

Baumert, Leonard D.; Gordon, Daniel M. (2004). "On the existence of cyclic difference sets with small parameters". In van der Poorten, Alf; Stein, Andreas (eds.). High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams. Fields Institute Communications. Vol. 41. American Mathematical Society. pp. 61–68. arXiv:math/0304502.

doi.org (Global: 2^nd place; English: 2^nd place)

Leung, Ka Hin; Ma, Siu Lun; Schmidt, Bernhard (2014). "A multiplier theorem". Journal of Combinatorial Theory, Series A. 124: 228–243. doi:10.1016/j.jcta.2014.02.001.
Gordon, Daniel M.; Schmidt, Bernhard (2016). "A survey of the multiplier conjecture". Designs, Codes and Cryptography. 78 (1): 221–236. doi:10.1007/s10623-015-0153-8.
Leung, Ka Hin; Ma, Siu Lun; Schmidt, Bernhard (2004). "Nonexistence of abelian difference sets: Lander's conjecture for prime power orders". Transactions of the American Mathematical Society. 356 (11): 4343–4358. doi:10.1090/S0002-9947-03-03365-8.
Lander, Eric S. (1983). Symmetric Designs: An Algebraic Approach. London Mathematical Society Lecture Note Series. Vol. 74. Cambridge University Press. p. 224. doi:10.1017/CBO9780511662164. ISBN 978-0-521-28693-0.
Leung, Ka Hin; Schmidt, Bernhard (2005). "The field descent method". Designs, Codes and Cryptography. 36 (2): 171–188. doi:10.1007/s10623-004-1703-7.
Leung, Ka Hin; Ma, Siu Lun; Schmidt, Bernhard (2010). "On Lander's conjecture for difference sets whose order is a power of 2 or 3". Designs, Codes and Cryptography. 56 (1): 79–84. doi:10.1007/s10623-009-9344-5.
Feng, Tao; Leung, Ka Hin; Schmidt, Bernhard; Smith, Ken W. (2014). "Hadamard difference sets related to Lander's conjecture". Journal of Algebra. 403: 29–47. doi:10.1016/j.jalgebra.2013.11.027.
Bose, R.C. (1939), "On the construction of balanced incomplete block designs", Annals of Eugenics, 9 (4): 353–399, doi:10.1111/j.1469-1809.1939.tb02219.x, JFM 65.1110.04, Zbl 0023.00102
Bruck, R.H. (1955), "Difference sets in a finite group", Transactions of the American Mathematical Society, 78 (2): 464–481, doi:10.2307/1993074, JSTOR 1993074, Zbl 0065.13302
Hall Jr., Marshall (1947), "Cyclic projective planes", Duke Mathematical Journal, 14 (4): 1079–1090, doi:10.1215/s0012-7094-47-01482-8, S2CID 119846649, Zbl 0029.22502

jstor.org (Global: 23^rd place; English: 15^th place)

Bruck, R.H. (1955), "Difference sets in a finite group", Transactions of the American Mathematical Society, 78 (2): 464–481, doi:10.2307/1993074, JSTOR 1993074, Zbl 0065.13302

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Hall Jr., Marshall (1947), "Cyclic projective planes", Duke Mathematical Journal, 14 (4): 1079–1090, doi:10.1215/s0012-7094-47-01482-8, S2CID 119846649, Zbl 0029.22502

zbmath.org (Global: 2,089^th place; English: 1,141^st place)

van Lint & Wilson 1992, p. 331 van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge: Cambridge University Press, ISBN 0-521-42260-4, Zbl 0769.05001
Wallis 1988, p. 61 - Theorem 4.5 Wallis, W.D. (1988). Combinatorial Designs. Marcel Dekker. ISBN 0-8247-7942-8. Zbl 0637.05004.
van Lint & Wilson 1992, p. 331 - Theorem 27.2. The theorem only states point transitivity, but block transitivity follows from this by the second corollary on p. 330. van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge: Cambridge University Press, ISBN 0-521-42260-4, Zbl 0769.05001
Colbourn & Dinitz 2007, p. 420 (18.7 Remark 2) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 420 (18.7 Remark 1) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 420 (Remark 18.9) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
van Lint & Wilson 1992, p. 345 van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge: Cambridge University Press, ISBN 0-521-42260-4, Zbl 0769.05001
van Lint & Wilson 1992, p. 349 (Theorem 28.7) van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge: Cambridge University Press, ISBN 0-521-42260-4, Zbl 0769.05001
Beth, Jungnickel & Lenz 1986, p. 280 (Theorem 4.6) Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001
Colbourn & Dinitz 2007, pp. 422-425 Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Colbourn & Dinitz 2007, p. 425 (Construction 18.49) Colbourn, Charles J.; Dinitz, Jeffrey H. (2007), Handbook of Combinatorial Designs, Discrete Mathematics and its Applications (2nd ed.), Boca Raton: Chapman & Hall/ CRC, ISBN 978-1-58488-506-1, Zbl 1101.05001
Bose, R.C. (1939), "On the construction of balanced incomplete block designs", Annals of Eugenics, 9 (4): 353–399, doi:10.1111/j.1469-1809.1939.tb02219.x, JFM 65.1110.04, Zbl 0023.00102
Wallis 1988, p. 69 Wallis, W.D. (1988). Combinatorial Designs. Marcel Dekker. ISBN 0-8247-7942-8. Zbl 0637.05004.
Bruck, R.H. (1955), "Difference sets in a finite group", Transactions of the American Mathematical Society, 78 (2): 464–481, doi:10.2307/1993074, JSTOR 1993074, Zbl 0065.13302
van Lint & Wilson 1992, p. 340 van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge: Cambridge University Press, ISBN 0-521-42260-4, Zbl 0769.05001
Hall Jr., Marshall (1947), "Cyclic projective planes", Duke Mathematical Journal, 14 (4): 1079–1090, doi:10.1215/s0012-7094-47-01482-8, S2CID 119846649, Zbl 0029.22502
Beth, Jungnickel & Lenz 1986, p. 275 Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001
Beth, Jungnickel & Lenz 1986, p. 310 (2.8.a) Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986), Design Theory, Cambridge: Cambridge University Press, ISBN 0-521-33334-2, Zbl 0602.05001

Difference set (English Wikipedia)

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 49th place; English: 31st place)

doi.org (Global: 2nd place; English: 2nd place)

jstor.org (Global: 23rd place; English: 15th place)

semanticscholar.org (Global: 15th place; English: 8th place)