MinT - Information on Result #854945

Information on Result #854945

Linear OOA(9¹³⁸, 100, F₉, 2, 72) (dual of [(100, 2), 62, 73]-NRT-code), using OOA 2-folding based on linear OA(9¹³⁸, 200, F₉, 72) (dual of [200, 62, 73]-code), using

1 times truncation [i] based on linear OA(9¹³⁹, 201, F₉, 73) (dual of [201, 62, 74]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁶, 67, F₈₁, 36) (dual of [67, 31, 37]-code or 67-arc in PG(35,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³⁶, 81, F₈₁, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using
      - Reedâ€“Solomon code RS(45,81) [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.