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	Quasi-perfect sequences and Hadamard difference sets
	Ooms, AI ; Qiu, WS
	2005
关键词	quasi-perfect sequence difference set character Hadamard transform multiplier group SUMS
英文摘要	In this paper, we prove that a binary sequence is perfect (resp., quasi-perfect) if and only if its support set for any finite group (not necessarily cyclic) is a Hadamard difference set of type I (resp., type II); and we prove that the kernel of any nonzero linear functional (or the image of any linear transformation A with dim(Ker A) = 1) on the linear space GF(2(m)) over the field GF(2(m)) (excluding 0) is a cyclic Hadamard difference set of type II using Gaussian sums; and we prove that the multiplier group of the above difference set is equal to the Galois group Gal(GF(2(m))/GF(2)); and we mention the relationship between the Hadamard transform and the irreducible complex characters.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 0; ARTICLE; 4; 635-644; 12
语种	英语
出处	SCI
出版者	algebra colloquium
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/399340]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ooms, AI,Qiu, WS. Quasi-perfect sequences and Hadamard difference sets. 2005-01-01.

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