MinT - Information on Result #2436666

Information on Result #2436666

Linear OOA(3²²⁷, 116, F₃, 2, 165) (dual of [(116, 2), 5, 166]-NRT-code), using strength reduction based on linear OOA(3²²⁷, 116, F₃, 2, 171) (dual of [(116, 2), 5, 172]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵, 5, F₃, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3⁵, 10, F₃, 4) (dual of [10, 5, 5]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
      - Golay code G(3) [i]
2. linear OOA(3²¹⁷, 111, F₃, 2, 166) (dual of [(111, 2), 5, 167]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(3²¹⁸, 112, F₃, 2, 167) (dual of [(112, 2), 6, 168]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
        Hermitian unital [i]
      2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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.