MinT - Information on Result #960514

Information on Result #960514

Linear OOA(3²¹⁰, 74, F₃, 3, 127) (dual of [(74, 3), 12, 128]-NRT-code), using OOA 3-folding based on linear OA(3²¹⁰, 222, F₃, 127) (dual of [222, 12, 128]-code), using

3 times truncation [i] based on linear OA(3²¹³, 225, F₃, 130) (dual of [225, 12, 131]-code), using
- strength reduction [i] based on linear OA(3²¹³, 225, F₃, 131) (dual of [225, 12, 132]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27²¹, 25, F₂₇, 21) (dual of [25, 4, 22]-code or 25-arc in PG(20,27)), using
      - discarding factors / shortening the dual code based on linear OA(27²¹, 27, F₂₇, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
        Reedâ€“Solomon code RS(6,27) [i]
    2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
        projective code from ovoid in PG(3,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.