Timeline for Number of roots of a quadratic form over GF(2)
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 2 at 6:16 | vote | accept | Fabio Dias | ||
| Dec 2 at 3:05 | comment | added | Dima Pasechnik | it's been understood by group theorists considerably earlier, tthat for even n there are two types of othrogonal groups over GF(2) preserving a non-degenerate quadratic form. Two types are distinguished by the dimension of the maximal totally isotropic subspace (either n/2 (so-called '+' type, or n/2-1 ('-' type)). The '+' type is equivalent, after a base change, to $x_1 x_n + x_2 x_{n-1}+...+x_{n/2-1} x_{n/2}$. | |
| Dec 2 at 2:02 | comment | added | Fabio Dias | That is fantastic, thank you very much! I’ve been searching for this result the whole day and could not find it, you made my day! :) And is there any literature about how to find these zeros or about any properties of the set of zeros of $Q(x)$? Again, thank you! | |
| Dec 2 at 0:58 | history | edited | Ofir Gorodetsky | CC BY-SA 4.0 |
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| Dec 1 at 21:26 | history | edited | Ofir Gorodetsky | CC BY-SA 4.0 |
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| Dec 1 at 21:18 | history | edited | Ofir Gorodetsky | CC BY-SA 4.0 |
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| Dec 1 at 21:02 | history | answered | Ofir Gorodetsky | CC BY-SA 4.0 |