MinT - Information on Result #1099731

Information on Result #1099731

Linear OOA(2¹⁹⁴, 43, F₂, 5, 82) (dual of [(43, 5), 21, 83]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁹⁴, 86, F₂, 3, 82) (dual of [(86, 3), 64, 83]-NRT-code), using

1 step truncation [i] based on linear OOA(2¹⁹⁵, 87, F₂, 3, 83) (dual of [(87, 3), 66, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(4⁵⁴, 29, F₄, 3, 41) (dual of [(29, 3), 33, 42]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
      - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
  2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 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.