MinT - Information on Result #836912

Information on Result #836912

Linear OOA(5⁴⁸, 34, F₅, 2, 26) (dual of [(34, 2), 20, 27]-NRT-code), using OOA 2-folding based on linear OA(5⁴⁸, 68, F₅, 26) (dual of [68, 20, 27]-code), using

1 times truncation [i] based on linear OA(5⁴⁹, 69, F₅, 27) (dual of [69, 20, 28]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25¹³, 23, F₂₅, 13) (dual of [23, 10, 14]-code or 23-arc in PG(12,25)), using
    - discarding factors / shortening the dual code based on linear OA(25¹³, 25, F₂₅, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
      - Reedâ€“Solomon code RS(12,25) [i]
  2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 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.