MinT - Information on Result #947732

Information on Result #947732

Linear OOA(2¹¹⁸, 58, F₂, 3, 36) (dual of [(58, 3), 56, 37]-NRT-code), using OOA 3-folding based on linear OA(2¹¹⁸, 174, F₂, 36) (dual of [174, 56, 37]-code), using

1 times truncation [i] based on linear OA(2¹¹⁹, 175, F₂, 37) (dual of [175, 56, 38]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²¹, 35, F₁₆, 18) (dual of [35, 14, 19]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²¹, 38, F₁₆, 18) (dual of [38, 17, 19]-code), using
      - extended algebraic-geometric code AG_e(F,19P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.