Perfect Gaussian integer sequences from cyclic difference sets

2016 ◽  
Author(s):  
Xinjiao Chen ◽  
Chunlei Li ◽  
Chunming Rong
Keyword(s):  
Difference Sets ◽  
Integer Sequences ◽  
Gaussian Integer ◽  
Cyclic Difference Sets

scholarly journals Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets

1999 ◽  
Vol 87 (1) ◽  
pp. 74-119 ◽  
Author(s):  
Ronald Evans ◽  
Henk D.L. Hollmann ◽  
Christian Krattenthaler ◽  
Qing Xiang
Keyword(s):  
Difference Sets ◽  
Gauss Sums ◽  
Cyclic Difference Sets ◽  
Jacobi Sums

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

scholarly journals Exhaustive determination of (1023,~511,~255)-cyclic difference sets

2000 ◽  
Vol 70 (233) ◽  
pp. 357-367 ◽  
Author(s):  
Peter Gaal ◽  
Solomon W. Golomb
Keyword(s):  
Difference Sets ◽  
Cyclic Difference Sets

Perfect Gaussian Integer Sequences of Odd Prime Length

2012 ◽  
Vol 19 (10) ◽  
pp. 615-618 ◽  
Author(s):  
Yang Yang ◽  
Xiaohu Tang ◽  
Zhengchun Zhou
Keyword(s):  
Integer Sequences ◽  
Gaussian Integer
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