Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10623-009-9344-5
Title: On Lander's conjecture for difference sets whose order is a power of 2 or 3
Authors: Leung, K.H. 
Ma, S.L. 
Schmidt, B.
Keywords: Difference sets
Field descent
Lander's conjecture
Issue Date: Jul-2010
Citation: Leung, K.H., Ma, S.L., Schmidt, B. (2010-07). On Lander's conjecture for difference sets whose order is a power of 2 or 3. Designs, Codes, and Cryptography 56 (1) : 79-84. ScholarBank@NUS Repository. https://doi.org/10.1007/s10623-009-9344-5
Abstract: Let p be a prime and let b be a positive integer. If a (v, k, λ, n) difference set D of order n = p b exists in an abelian group with cyclic Sylow p-subgroup S, then p ε {2,3} and |S| = p. Furthermore, either p = 2 and v ≡ λ ≡ 2 (mod 4) or the parameters of D belong to one of four families explicitly determined in our main theorem. © 2009 Springer Science+Business Media, LLC.
Source Title: Designs, Codes, and Cryptography
URI: http://scholarbank.nus.edu.sg/handle/10635/103719
ISSN: 09251022
DOI: 10.1007/s10623-009-9344-5
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