MinT - Information on Result #994173

Information on Result #994173

Linear OOA(8¹⁰, 270400, F₈, 3, 3) (dual of [(270400, 3), 811190, 4]-NRT-code), using appending kth column based on linear OOA(8¹⁰, 270400, F₈, 2, 3) (dual of [(270400, 2), 540790, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8¹⁰, 270400, F₈, 3) (dual of [270400, 270390, 4]-code or 270400-cap in PG(9,8)), using
- product of projective cap with cap in AG(6,Â 8) [i] based on linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)), using
  - ovoid in PG(3,Â 8) [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(8⁵², 5862802, F₈, 3, 6) (dual of [(5862802, 3), 17588354, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(8⁶⁰, 5862802, F₈, 3, 7) (dual of [(5862802, 3), 17588346, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (7, 10, 270400)-net over F₈	[i]	Net Defined by OOA