MinT - Information on Result #2806387

Information on Result #2806387

Linear OOA(81³¹, large, F₈₁, 4, 3), using 6 times NRT-code embedding in larger space based on linear OOA(81⁷, large, F₈₁, 4, 3), using

appending 1 arbitrary column [i] based on linear OOA(81⁷, large, F₈₁, 3, 3), using
- appending kth column [i] based on linear OOA(81⁷, large, F₈₁, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(81⁷, large, F₈₁, 3) (dual of [large, large−7, 4]-code), using
    - product of projective cap with 81²-ovoid cap in AG(3,Â 81) [i] based on linear OA(81⁴, 6562, F₈₁, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81)), using
      - ovoid in PG(3,Â 81) [i]

Mode: Constructive and linear.

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

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(81³⁴, large, F₈₁, 4, 3)	[i]		OOA Duplication