MinT - Information on Result #854471

Information on Result #854471

Linear OOA(9¹⁰⁹, 70, F₉, 2, 63) (dual of [(70, 2), 31, 64]-NRT-code), using OOA 2-folding based on linear OA(9¹⁰⁹, 140, F₉, 63) (dual of [140, 31, 64]-code), using

discarding factors / shortening the dual code based on linear OA(9¹⁰⁹, 141, F₉, 63) (dual of [141, 32, 64]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³¹, 47, F₈₁, 31) (dual of [47, 16, 32]-code or 47-arc in PG(30,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³¹, 81, F₈₁, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), using
      - Reedâ€“Solomon code RS(50,81) [i]
  2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 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.