MinT - Information on Result #977871

Information on Result #977871

Linear OOA(7⁵⁰, 18, F₇, 3, 43) (dual of [(18, 3), 4, 44]-NRT-code), using OOA 3-folding based on linear OA(7⁵⁰, 54, F₇, 43) (dual of [54, 4, 44]-code), using

constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [50,1,49]-code [i] based on
1. linear OA(7⁴⁶, 50, F₇, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3,Â 7) [i]
2. linear OA(7¹, 4, F₇, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 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.