MinT - Information on Result #854083

Information on Result #854083

Linear OOA(9⁹⁶, 61, F₉, 2, 56) (dual of [(61, 2), 26, 57]-NRT-code), using OOA 2-folding based on linear OA(9⁹⁶, 122, F₉, 56) (dual of [122, 26, 57]-code), using

1 times truncation [i] based on linear OA(9⁹⁷, 123, F₉, 57) (dual of [123, 26, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁸, 41, F₈₁, 28) (dual of [41, 13, 29]-code or 41-arc in PG(27,81)), using
    - discarding factors / shortening the dual code based on linear OA(81²⁸, 81, F₈₁, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
      - Reedâ€“Solomon code RS(53,81) [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.