MinT - Information on Result #1071987

Information on Result #1071987

Linear OOA(3²¹, 7426048, F₃, 4, 3) (dual of [(7426048, 4), 29704171, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3²¹, 7426048, F₃, 3, 3) (dual of [(7426048, 3), 22278123, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3²¹, 7426048, F₃, 2, 3) (dual of [(7426048, 2), 14852075, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [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 s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.