MinT - Information on Result #1071984

Information on Result #1071984

Linear OOA(3¹⁸, 745472, F₃, 4, 3) (dual of [(745472, 4), 2981870, 4]-NRT-code), using appending 1 arbitrary column based on linear OOA(3¹⁸, 745472, F₃, 3, 3) (dual of [(745472, 3), 2236398, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3¹⁸, 745472, F₃, 2, 3) (dual of [(745472, 2), 1490926, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁸, 745472, F₃, 3) (dual of [745472, 745454, 4]-code or 745472-cap in PG(17,3)), using
  - large caps in PG(u,Â 3) [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

None.