MinT - Information on Result #524427

Information on Result #524427

There is no 745766-cap in AG(10,5), because 6 times the recursive bound from Bierbrauer and Edel would yield 89-cap in AG(4,5), but

embedding in projective space [i] would yield linear OA(5⁵, 89, F₅, 3) (dual of [89, 84, 4]-code or 89-cap in PG(4,5)), but
- a result by Edel, Storme, and Sziklai [i]

Mode: Bound (linear).

None.

The following results depend on this result:

	Result		This result only	Method
1	No linear OA(5¹¹, 952350, F₅, 3) (dual of [952350, 952339, 4]-code or 952350-cap in PG(10,5))	[i]		Removing Affine Subspaces
2	No linear OA(5¹², 4416622, F₅, 3) (dual of [4416622, 4416610, 4]-code or 4416622-cap in PG(11,5))	[i]		Removing Affine Subspaces