MinT - Information on Result #625167

Information on Result #625167

Linear OA(8¹¹, 878800, F₈, 3) (dual of [878800, 878789, 4]-code or 878800-cap in PG(10,8)), using product of two projective caps and an affine cap avoiding two hyperplanes based on

linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)), using
- ovoid in PG(3,Â 8) [i]
linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)) (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹¹, 878800, F₈, 2, 3) (dual of [(878800, 2), 1757589, 4]-NRT-code)	[i]		OAs with Strength 3, bÂ â‰ Â 2, and mÂ >Â 3 Are Always Embeddable
2	Linear OOA(8¹¹, 878799, F₈, 3, 3) (dual of [(878799, 3), 2636386, 4]-NRT-code)	[i]		OOA Stacking with Additional Row