MinT - Information on Result #524434

Information on Result #524434

There is no 409252-cap in AG(8,7), because 4 times the recursive bound from Bierbrauer and Edel would yield 239-cap in AG(4,7), but

embedding in projective space [i] would yield linear OA(7⁵, 239, F₇, 3) (dual of [239, 234, 4]-code or 239-cap in PG(4,7)), 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(7⁹, 483576, F₇, 3) (dual of [483576, 483567, 4]-code or 483576-cap in PG(8,7))	[i]		Removing Affine Subspaces
2	No linear OA(7¹⁰, 3158441, F₇, 3) (dual of [3158441, 3158431, 4]-code or 3158441-cap in PG(9,7))	[i]		Removing Affine Subspaces