MinT - Information on Result #853416

Information on Result #853416

Linear OOA(9⁸⁹, 67, F₉, 2, 45) (dual of [(67, 2), 45, 46]-NRT-code), using OOA 2-folding based on linear OA(9⁸⁹, 134, F₉, 45) (dual of [134, 45, 46]-code), using

discarding factors / shortening the dual code based on linear OA(9⁸⁹, 135, F₉, 45) (dual of [135, 46, 46]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²², 45, F₈₁, 22) (dual of [45, 23, 23]-code or 45-arc in PG(21,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²², 81, F₈₁, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
      - Reedâ€“Solomon code RS(59,81) [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.