MinT - Information on Result #994175

Information on Result #994175

Linear OOA(8¹², 2931457, F₈, 3, 3) (dual of [(2931457, 3), 8794359, 4]-NRT-code), using appending kth column based on linear OOA(8¹², 2931457, F₈, 2, 3) (dual of [(2931457, 2), 5862902, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8¹², 2931457, F₈, 3) (dual of [2931457, 2931445, 4]-code or 2931457-cap in PG(11,8)), using
- product of projective cap with cap in AG(5,Â 8) [i] based on linear OA(8⁷, 4224, F₈, 3) (dual of [4224, 4217, 4]-code or 4224-cap in PG(6,8)), using
  - product of two caps with tangent hyperplane [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(8⁵⁴, large, F₈, 3, 6)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(8⁶², large, F₈, 3, 7)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (9, 12, 2931457)-net over F₈	[i]	Net Defined by OOA