MinT - Information on Result #1105413

Information on Result #1105413

Linear OOA(3¹⁹³, 47, F₃, 5, 88) (dual of [(47, 5), 42, 89]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁹³, 94, F₃, 3, 88) (dual of [(94, 3), 89, 89]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁹³, 95, F₃, 3, 88) (dual of [(95, 3), 92, 89]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3¹⁹⁴, 96, F₃, 3, 89) (dual of [(96, 3), 94, 90]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(9⁴⁹, 32, F₉, 3, 44) (dual of [(32, 3), 47, 45]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,51P) [i] based on function field F/F₉ with g(F) = 5 and N(F) ≥ 32, 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.