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Nov 20, 2022 at 6:11 vote accept user369335
S Nov 13, 2022 at 13:25 history suggested user369335 CC BY-SA 4.0
According to Corollary 2.5 in the Jungnickel and Pott paper
Nov 13, 2022 at 7:04 review Suggested edits
S Nov 13, 2022 at 13:25
Nov 13, 2022 at 0:08 history edited kodlu CC BY-SA 4.0
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Nov 11, 2022 at 22:25 history edited kodlu CC BY-SA 4.0
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Nov 11, 2022 at 21:54 history edited Rodrigo de Azevedo CC BY-SA 4.0
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Nov 11, 2022 at 19:52 history edited kodlu CC BY-SA 4.0
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Nov 11, 2022 at 19:51 comment added kodlu Indeed, that's what I am referring to as Legendre sequences they are derived from quadratic characters. Thanks for pointing this out.
Nov 11, 2022 at 19:45 comment added Maarten Havinga For an explicit construction of example circulant matrices $X$ where $X^T X = (n+1)I - J$, try for a finite field with $n=4k+3$ elements and specify $X(i,j)=sgn(i-j)$ where $sgn(x)=1$ iff $x$ is a square modulo $n$ and $-1$ otherwise.
Nov 11, 2022 at 17:50 history answered kodlu CC BY-SA 4.0