MinT - Information on Result #1067151

Information on Result #1067151

Linear OOA(3²³⁴, 75, F₃, 4, 108) (dual of [(75, 4), 66, 109]-NRT-code), using OOA 2-folding based on linear OOA(3²³⁴, 150, F₃, 2, 108) (dual of [(150, 2), 66, 109]-NRT-code), using

strength reduction [i] based on linear OOA(3²³⁴, 150, F₃, 2, 109) (dual of [(150, 2), 66, 110]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁶⁷, 50, F₉, 2, 54) (dual of [(50, 2), 33, 55]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁶⁷, 63, F₉, 2, 54) (dual of [(63, 2), 59, 55]-NRT-code), using
      - algebraic-geometric NRT-code AG(2;F,71P) [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.