MinT - Information on Result #836910

Information on Result #836910

Linear OOA(5⁴⁶, 31, F₅, 2, 26) (dual of [(31, 2), 16, 27]-NRT-code), using OOA 2-folding based on linear OA(5⁴⁶, 62, F₅, 26) (dual of [62, 16, 27]-code), using

1 times truncation [i] based on linear OA(5⁴⁷, 63, F₅, 27) (dual of [63, 16, 28]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25¹³, 21, F₂₅, 13) (dual of [21, 8, 14]-code or 21-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.