MinT - Information on Result #948740

Information on Result #948740

Linear OOA(2¹⁹¹, 123, F₂, 3, 47) (dual of [(123, 3), 178, 48]-NRT-code), using OOA 3-folding based on linear OA(2¹⁹¹, 369, F₂, 47) (dual of [369, 178, 48]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁹¹, 371, F₂, 47) (dual of [371, 180, 48]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²³, 53, F₆₄, 23) (dual of [53, 30, 24]-code or 53-arc in PG(22,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²³, 64, F₆₄, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
      - Reedâ€“Solomon code RS(41,64) [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.