Information on Result #524421

There is no 89-cap in AG(4,5), because embedding in projective space would yield linear OA(55, 89, F5, 3) (dual of [89, 84, 4]-code or 89-cap in PG(4,5)), but

Mode: Bound (linear).

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No 387-cap in AG(5,5) [i]A Recursive Bound on the Size of Affine Caps by Bierbrauer and Edel
2No 1719-cap in AG(6,5) [i]
3No 7740-cap in AG(7,5) [i]
4No 35209-cap in AG(8,5) [i]
5No 161486-cap in AG(9,5) [i]
6No 745766-cap in AG(10,5) [i]
7No 3464273-cap in AG(11,5) [i]