MinT - Information on Result #842722

Information on Result #842722

Linear OOA(7⁹⁷, 70, F₇, 2, 51) (dual of [(70, 2), 43, 52]-NRT-code), using OOA 2-folding based on linear OA(7⁹⁷, 140, F₇, 51) (dual of [140, 43, 52]-code), using

discarding factors / shortening the dual code based on linear OA(7⁹⁷, 141, F₇, 51) (dual of [141, 44, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(49²⁵, 47, F₄₉, 25) (dual of [47, 22, 26]-code or 47-arc in PG(24,49)), using
    - discarding factors / shortening the dual code based on linear OA(49²⁵, 49, F₄₉, 25) (dual of [49, 24, 26]-code or 49-arc in PG(24,49)), using
      - Reedâ€“Solomon code RS(24,49) [i]
  2. linear OA(7¹, 3, F₇, 1) (dual of [3, 2, 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.