MinT - Information on Result #887451

Information on Result #887451

Linear OOA(3¹⁹, 23, F₃, 2, 9) (dual of [(23, 2), 27, 10]-NRT-code), using extracting embedded OOA based on digital (10, 19, 23)-net over F₃, using

s-reduction based on digital (10, 19, 25)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3¹⁹, 25, F₃, 12, 9) (dual of [(25, 12), 281, 10]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(3¹⁹, 26, F₃, 4, 9) (dual of [(26, 4), 85, 10]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁶, 14, F₃, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
        appending kth column [i] based on linear OOA(3⁶, 14, F₃, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (2, 6, 14)-net over F₃, using
        linear code embedding found in a computer search [i]
      2. linear OOA(3¹³, 13, F₃, 4, 9) (dual of [(13, 4), 39, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (4, 13, 13)-net over F₃, using
        a shift-net [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.