MinT - Information on Result #810132

Information on Result #810132

Linear OOA(2²²⁷, 206, F₂, 2, 57) (dual of [(206, 2), 185, 58]-NRT-code), using OOA 2-folding based on linear OA(2²²⁷, 412, F₂, 57) (dual of [412, 185, 58]-code), using

discarding factors / shortening the dual code based on linear OA(2²²⁷, 413, F₂, 57) (dual of [413, 186, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁸, 59, F₆₄, 28) (dual of [59, 31, 29]-code or 59-arc in PG(27,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁸, 64, F₆₄, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
      - Reedâ€“Solomon code RS(36,64) [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.