MinT - Information on Result #809966

Information on Result #809966

Linear OOA(2²²³, 213, F₂, 2, 55) (dual of [(213, 2), 203, 56]-NRT-code), using OOA 2-folding based on linear OA(2²²³, 426, F₂, 55) (dual of [426, 203, 56]-code), using

discarding factors / shortening the dual code based on linear OA(2²²³, 427, F₂, 55) (dual of [427, 204, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁷, 61, F₆₄, 27) (dual of [61, 34, 28]-code or 61-arc in PG(26,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁷, 64, F₆₄, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
      - Reedâ€“Solomon code RS(37,64) [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.