MinT - Information on Result #2796192

Information on Result #2796192

Linear OOA(3⁴⁴, large, F₃, 4, 3), using 3² times duplication based on linear OOA(3⁴², large, F₃, 4, 3), using

5 times NRT-code embedding in larger space [i] based on linear OOA(3²², large, F₃, 4, 3), using
- appending 1 arbitrary column [i] based on linear OOA(3²², large, F₃, 3, 3), using
  - appending kth column [i] based on linear OOA(3²², large, F₃, 2, 3), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3²², large, F₃, 3) (dual of [large, large−22, 4]-code), using
      - doubling the cap [i] based on linear OA(3²¹, 7426048, F₃, 3) (dual of [7426048, 7426027, 4]-code or 7426048-cap in PG(20,3)), using
        doubling the cap [i] based on linear OA(3²⁰, 3713024, F₃, 3) (dual of [3713024, 3713004, 4]-code or 3713024-cap in PG(19,3)), using
        large caps in PG(u,Â 3) [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.