MinT - Information on Result #994159

Information on Result #994159

Linear OOA(7⁷, 2499, F₇, 3, 3) (dual of [(2499, 3), 7490, 4]-NRT-code), using appending kth column based on linear OOA(7⁷, 2499, F₇, 2, 3) (dual of [(2499, 2), 4991, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁷, 2499, F₇, 3) (dual of [2499, 2492, 4]-code or 2499-cap in PG(6,7)), using
- product of two caps with tangent hyperplane [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(7⁴⁹, 3845701, F₇, 3, 6) (dual of [(3845701, 3), 11537054, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(7⁵⁷, 3845701, F₇, 3, 7) (dual of [(3845701, 3), 11537046, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(7¹⁰³, 7688927, F₇, 3, 9) (dual of [(7688927, 3), 23066678, 10]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(7¹⁰², 7688919, F₇, 3, 9) (dual of [(7688919, 3), 23066655, 10]-NRT-code)	[i]
5	Linear OOA(7¹⁰³, 7689017, F₇, 3, 9) (dual of [(7689017, 3), 23066948, 10]-NRT-code)	[i]
6	Linear OOA(7¹⁰¹, 7688911, F₇, 3, 9) (dual of [(7688911, 3), 23066632, 10]-NRT-code)	[i]
7	Linear OOA(7¹⁰², 7688960, F₇, 3, 9) (dual of [(7688960, 3), 23066778, 10]-NRT-code)	[i]
8	Linear OOA(7⁹⁹, 7688903, F₇, 3, 9) (dual of [(7688903, 3), 23066610, 10]-NRT-code)	[i]
9	Digital (4, 7, 2499)-net over F₇	[i]	Net Defined by OOA