MinT - Information on Result #994158

Information on Result #994158

Linear OOA(7⁶, 434, F₇, 3, 3) (dual of [(434, 3), 1296, 4]-NRT-code), using appending kth column based on linear OOA(7⁶, 434, F₇, 2, 3) (dual of [(434, 2), 862, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁶, 434, F₇, 3) (dual of [434, 428, 4]-code or 434-cap in PG(5,7)), 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(7⁴⁸, 3843636, F₇, 3, 6) (dual of [(3843636, 3), 11530860, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(7⁵⁶, 3843636, F₇, 3, 7) (dual of [(3843636, 3), 11530852, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(7¹⁰², 7686862, F₇, 3, 9) (dual of [(7686862, 3), 23060484, 10]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(7¹⁰¹, 7686854, F₇, 3, 9) (dual of [(7686854, 3), 23060461, 10]-NRT-code)	[i]
5	Linear OOA(7¹⁰², 7686952, F₇, 3, 9) (dual of [(7686952, 3), 23060754, 10]-NRT-code)	[i]
6	Linear OOA(7¹⁰⁰, 7686846, F₇, 3, 9) (dual of [(7686846, 3), 23060438, 10]-NRT-code)	[i]
7	Linear OOA(7¹⁰¹, 7686895, F₇, 3, 9) (dual of [(7686895, 3), 23060584, 10]-NRT-code)	[i]
8	Linear OOA(7⁹⁸, 7686838, F₇, 3, 9) (dual of [(7686838, 3), 23060416, 10]-NRT-code)	[i]
9	Digital (3, 6, 434)-net over F₇	[i]	Net Defined by OOA