MinT - Information on Result #994168

Information on Result #994168

Linear OOA(8⁵, 208, F₈, 3, 3) (dual of [(208, 3), 619, 4]-NRT-code), using appending kth column based on linear OOA(8⁵, 208, F₈, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁵, 208, F₈, 3) (dual of [208, 203, 4]-code or 208-cap in PG(4,8)), 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(8¹⁷, 260, F₈, 3, 6) (dual of [(260, 3), 763, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(8¹⁹, 320, F₈, 3, 6) (dual of [(320, 3), 941, 7]-NRT-code)	[i]
3	Linear OOA(8⁴⁷, 5592610, F₈, 3, 6) (dual of [(5592610, 3), 16777783, 7]-NRT-code)	[i]
4	Linear OOA(8¹⁹, 260, F₈, 3, 7) (dual of [(260, 3), 761, 8]-NRT-code)	[i]
5	Linear OOA(8²¹, 320, F₈, 3, 7) (dual of [(320, 3), 939, 8]-NRT-code)	[i]
6	Linear OOA(8²³, 390, F₈, 3, 7) (dual of [(390, 3), 1147, 8]-NRT-code)	[i]
7	Linear OOA(8²⁴, 468, F₈, 3, 7) (dual of [(468, 3), 1380, 8]-NRT-code)	[i]
8	Linear OOA(8³⁶, 11132, F₈, 3, 7) (dual of [(11132, 3), 33360, 8]-NRT-code)	[i]
9	Linear OOA(8⁴⁸, 699261, F₈, 3, 7) (dual of [(699261, 3), 2097735, 8]-NRT-code)	[i]
10	Linear OOA(8⁵⁵, 5592610, F₈, 3, 7) (dual of [(5592610, 3), 16777775, 8]-NRT-code)	[i]
11	Digital (2, 5, 208)-net over F₈	[i]	Net Defined by OOA