MinT - Information on Result #2299133

Information on Result #2299133

Linear OA(2²⁴³, 413, F₂, 62) (dual of [413, 170, 63]-code), using 1 times truncation based on linear OA(2²⁴⁴, 414, F₂, 63) (dual of [414, 170, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(32³⁵, 69, F₃₂, 31) (dual of [69, 34, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(32³⁵, 71, F₃₂, 31) (dual of [71, 36, 32]-code), using
    - extended algebraic-geometric code AG_e(F,39P) [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.