MinT - Information on Result #839638

Information on Result #839638

Linear OOA(5¹¹¹, 61, F₅, 2, 77) (dual of [(61, 2), 11, 78]-NRT-code), using OOA 2-folding based on linear OA(5¹¹¹, 122, F₅, 77) (dual of [122, 11, 78]-code), using

discarding factors / shortening the dual code based on linear OA(5¹¹¹, 123, F₅, 77) (dual of [123, 12, 78]-code), using
- 2 times truncation [i] based on linear OA(5¹¹³, 125, F₅, 79) (dual of [125, 12, 80]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(25¹⁹, 25, F₂₅, 19) (dual of [25, 6, 20]-code or 25-arc in PG(18,25)), using
      - Reedâ€“Solomon code RS(6,25) [i]
    2. linear OA(5³, 5, F₅, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
      - Reedâ€“Solomon code RS(2,5) [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.