MinT - Information on Result #994160

Information on Result #994160

Linear OOA(7⁸, 6472, F₇, 3, 3) (dual of [(6472, 3), 19408, 4]-NRT-code), using appending kth column based on linear OOA(7⁸, 6472, F₇, 2, 3) (dual of [(6472, 2), 12936, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁸, 6472, F₇, 3) (dual of [6472, 6464, 4]-code or 6472-cap in PG(7,7)), using
- caps completed using a computer search [i]

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		Method
1	Linear OOA(7⁵⁰, 3849674, F₇, 3, 6) (dual of [(3849674, 3), 11548972, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(7⁵⁸, 3849674, F₇, 3, 7) (dual of [(3849674, 3), 11548964, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(7¹⁰³, 7692892, F₇, 3, 9) (dual of [(7692892, 3), 23078573, 10]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(7¹⁰², 7692884, F₇, 3, 9) (dual of [(7692884, 3), 23078550, 10]-NRT-code)	[i]
5	Linear OOA(7¹⁰³, 7692933, F₇, 3, 9) (dual of [(7692933, 3), 23078696, 10]-NRT-code)	[i]
6	Linear OOA(7¹⁰⁰, 7692876, F₇, 3, 9) (dual of [(7692876, 3), 23078528, 10]-NRT-code)	[i]
7	Digital (5, 8, 6472)-net over F₇	[i]	Net Defined by OOA