MinT - Information on Result #1067354

Information on Result #1067354

Linear OOA(3²⁴⁰, 76, F₃, 4, 113) (dual of [(76, 4), 64, 114]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁰, 152, F₃, 2, 113) (dual of [(152, 2), 64, 114]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁴⁰, 153, F₃, 2, 113) (dual of [(153, 2), 66, 114]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁶⁹, 51, F₉, 2, 56) (dual of [(51, 2), 33, 57]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁶⁹, 63, F₉, 2, 56) (dual of [(63, 2), 57, 57]-NRT-code), using
      - algebraic-geometric NRT-code AG(2;F,69P) [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.