MinT - Information on Result #1311652

Information on Result #1311652

Linear OA(7⁵⁰, 194, F₇, 21) (dual of [194, 144, 22]-code), using 7 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 6 times 0) based on linear OA(7⁴⁹, 186, F₇, 21) (dual of [186, 137, 22]-code), using

constructionÂ X with VarÅ¡amov bound [i] based on
1. linear OA(7⁴⁸, 184, F₇, 21) (dual of [184, 136, 22]-code), using
  - trace code [i] based on linear OA(49²⁴, 92, F₄₉, 21) (dual of [92, 68, 22]-code), using
    - extended algebraic-geometric code AG_e(F,70P) [i] based on function field F/F₄₉ with g(F) = 3 and N(F) ≥ 92, using
      - a curve from the manYPoints database [i]
2. linear OA(7⁴⁸, 185, F₇, 20) (dual of [185, 137, 21]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 7⁴⁸Â > V_b^sâˆ’1(kâˆ’1)Â = 20980 321116 072652 872255 199308 869480 905537 [i]
3. linear OA(7⁰, 1, F₇, 0) (dual of [1, 1, 1]-code), using
  - discarding factors / shortening the dual code based on linear OA(7⁰, s, F₇, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
    - OA with only one run / dual of code without redundancy [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.