MinT - Information on Result #2806426

Information on Result #2806426

Linear OOA(81⁸², large, F₈₁, 4, 3), using 81³ times duplication based on linear OOA(81⁷⁹, large, F₈₁, 4, 3), using

18 times NRT-code embedding in larger space [i] 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.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.