MinT - Information on Result #1104548

Information on Result #1104548

Linear OOA(3¹⁴³, 35, F₃, 5, 66) (dual of [(35, 5), 32, 67]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴³, 70, F₃, 3, 66) (dual of [(70, 3), 67, 67]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁴³, 71, F₃, 3, 66) (dual of [(71, 3), 70, 67]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3¹⁴⁴, 72, F₃, 3, 67) (dual of [(72, 3), 72, 68]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(9³⁶, 24, F₉, 3, 33) (dual of [(24, 3), 36, 34]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(9³⁶, 28, F₉, 3, 33) (dual of [(28, 3), 48, 34]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,50P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [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.