MinT - Information on Result #950237

Information on Result #950237

Linear OOA(2²⁵⁸, 142, F₂, 3, 66) (dual of [(142, 3), 168, 67]-NRT-code), using OOA 3-folding based on linear OA(2²⁵⁸, 426, F₂, 66) (dual of [426, 168, 67]-code), using

1 times truncation [i] based on linear OA(2²⁵⁹, 427, F₂, 67) (dual of [427, 168, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³³, 61, F₆₄, 33) (dual of [61, 28, 34]-code or 61-arc in PG(32,64)), using
    - discarding factors / shortening the dual code based on linear OA(64³³, 64, F₆₄, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
      - Reedâ€“Solomon code RS(31,64) [i]
  2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 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: 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.