MinT - Information on Result #1094656

Information on Result #1094656

Linear OOA(3²⁰, 67, F₃, 5, 7) (dual of [(67, 5), 315, 8]-NRT-code), using OOA stacking with additional row based on linear OOA(3²⁰, 68, F₃, 3, 7) (dual of [(68, 3), 184, 8]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁶, 56, F₃, 3, 3) (dual of [(56, 3), 162, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁶, 56, F₃, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
      - the Hill cap [i]
2. linear OOA(3¹⁴, 34, F₃, 3, 7) (dual of [(34, 3), 88, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (7, 14, 34)-net over F₃, using
    - linear code embedding found in a computer search [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.