MinT - Information on Result #1063706

Information on Result #1063706

Linear OOA(3¹¹², 40, F₃, 4, 53) (dual of [(40, 4), 48, 54]-NRT-code), using OOA 2-folding based on linear OOA(3¹¹², 80, F₃, 2, 53) (dual of [(80, 2), 48, 54]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹¹², 81, F₃, 2, 53) (dual of [(81, 2), 50, 54]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9²⁹, 27, F₉, 2, 26) (dual of [(27, 2), 25, 27]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9²⁹, 28, F₉, 2, 26) (dual of [(28, 2), 27, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,29P) [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.