MinT - Information on Result #2306205

Information on Result #2306205

Linear OA(2¹⁹³, 211, F₂, 84) (dual of [211, 18, 85]-code), using 5 times code embedding in larger space based on linear OA(2¹⁸⁸, 206, F₂, 84) (dual of [206, 18, 85]-code), using

1 times truncation [i] based on linear OA(2¹⁸⁹, 207, F₂, 85) (dual of [207, 18, 86]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4⁶⁰, 69, F₄, 42) (dual of [69, 9, 43]-code), using
    - 1 times truncation [i] based on linear OA(4⁶¹, 70, F₄, 43) (dual of [70, 9, 44]-code), using
      - a â€œDaHâ€ code from Brouwerâ€™s database [i]
  2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.