MinT - Information on Result #1066452

Information on Result #1066452

Linear OOA(3²¹⁵, 71, F₃, 4, 94) (dual of [(71, 4), 69, 95]-NRT-code), using OOA 2-folding based on linear OOA(3²¹⁵, 142, F₃, 2, 94) (dual of [(142, 2), 69, 95]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²¹⁵, 143, F₃, 2, 94) (dual of [(143, 2), 71, 95]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3²¹⁶, 144, F₃, 2, 95) (dual of [(144, 2), 72, 96]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(9⁶⁰, 48, F₉, 2, 47) (dual of [(48, 2), 36, 48]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(9⁶⁰, 63, F₉, 2, 47) (dual of [(63, 2), 66, 48]-NRT-code), using
        algebraic-geometric NRT-code AG(2;F,78P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
        a function field by GarcÃa and Quoos [i]
    2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.