MinT - Information on Result #948003

Information on Result #948003

Linear OOA(2¹²⁵, 61, F₂, 3, 39) (dual of [(61, 3), 58, 40]-NRT-code), using OOA 3-folding based on linear OA(2¹²⁵, 183, F₂, 39) (dual of [183, 58, 40]-code), using

discarding factors / shortening the dual code based on linear OA(2¹²⁵, 185, F₂, 39) (dual of [185, 60, 40]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²², 37, F₁₆, 19) (dual of [37, 15, 20]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²², 38, F₁₆, 19) (dual of [38, 16, 20]-code), using
      - extended algebraic-geometric code AG_e(F,18P) [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.