MinT - Information on Result #1065727

Information on Result #1065727

Linear OOA(3²¹⁰, 81, F₃, 4, 82) (dual of [(81, 4), 114, 83]-NRT-code), using OOA 2-folding based on linear OOA(3²¹⁰, 162, F₃, 2, 82) (dual of [(162, 2), 114, 83]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²¹⁰, 163, F₃, 2, 82) (dual of [(163, 2), 116, 83]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3²¹¹, 164, F₃, 2, 83) (dual of [(164, 2), 117, 84]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(27⁴³, 41, F₂₇, 2, 41) (dual of [(41, 2), 39, 42]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(27⁴³, 48, F₂₇, 2, 41) (dual of [(48, 2), 53, 42]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,54P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [i]
    2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.