MinT - Information on Result #1372777

Information on Result #1372777

Linear OOA(7⁴⁴, 36, F₇, 2, 25) (dual of [(36, 2), 28, 26]-NRT-code), using OOA 2-folding based on linear OA(7⁴⁴, 72, F₇, 25) (dual of [72, 28, 26]-code), using

constructionÂ X with VarÅ¡amov bound [i] based on
1. linear OA(7⁴³, 70, F₇, 25) (dual of [70, 27, 26]-code), using
  - a code from Grasslâ€™s database [i]
2. linear OA(7⁴³, 71, F₇, 24) (dual of [71, 28, 25]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 7⁴³Â > V_b^sâˆ’1(kâˆ’1)Â = 1 536970 080498 101587 875304 833741 332881 [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.