MinT - Information on Result #2299153

Information on Result #2299153

Linear OA(2²⁵⁷, 407, F₂, 68) (dual of [407, 150, 69]-code), using 1 times truncation based on linear OA(2²⁵⁸, 408, F₂, 69) (dual of [408, 150, 70]-code), using

concatenation of two codes [i] based on
1. linear OA(32³⁸, 68, F₃₂, 34) (dual of [68, 30, 35]-code), using
  - discarding factors / shortening the dual code based on linear OA(32³⁸, 71, F₃₂, 34) (dual of [71, 33, 35]-code), using
    - extended algebraic-geometric code AG_e(F,36P) [i] based on function field F/F₃₂ with g(F) = 4 and N(F) ≥ 71, using
      - a curve from the manYPoints database [i]
2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 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: 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.