MinT - Information on Result #842705

Information on Result #842705

Linear OOA(7⁷⁶, 43, F₇, 2, 51) (dual of [(43, 2), 10, 52]-NRT-code), using OOA 2-folding based on linear OA(7⁷⁶, 86, F₇, 51) (dual of [86, 10, 52]-code), using

4 times truncation [i] based on linear OA(7⁸⁰, 90, F₇, 55) (dual of [90, 10, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(49¹³, 18, F₄₉, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,49)), using
    - discarding factors / shortening the dual code based on linear OA(49¹³, 49, F₄₉, 13) (dual of [49, 36, 14]-code or 49-arc in PG(12,49)), using
      - Reedâ€“Solomon code RS(36,49) [i]
  2. linear OA(7³, 5, F₇, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
    - discarding factors / shortening the dual code based on linear OA(7³, 7, F₇, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
      - Reedâ€“Solomon code RS(4,7) [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.