MinT - Information on Result #524423

Information on Result #524423

There is no 1719-cap in AG(6,5), because 2 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).

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No linear OA(5⁷, 2153, F₅, 3) (dual of [2153, 2146, 4]-code or 2153-cap in PG(6,5))	[i]		Removing Affine Subspaces
2	No linear OA(5⁸, 9892, F₅, 3) (dual of [9892, 9884, 4]-code or 9892-cap in PG(7,5))	[i]
3	No linear OA(5⁹, 45100, F₅, 3) (dual of [45100, 45091, 4]-code or 45100-cap in PG(8,5))	[i]
4	No linear OA(5¹⁰, 206585, F₅, 3) (dual of [206585, 206575, 4]-code or 206585-cap in PG(9,5))	[i]
5	No linear OA(5¹¹, 952350, F₅, 3) (dual of [952350, 952339, 4]-code or 952350-cap in PG(10,5))	[i]
6	No linear OA(5¹², 4416622, F₅, 3) (dual of [4416622, 4416610, 4]-code or 4416622-cap in PG(11,5))	[i]