MinT - Information on Result #846622

Information on Result #846622

Linear OOA(8⁸¹, 55, F₈, 2, 45) (dual of [(55, 2), 29, 46]-NRT-code), using OOA 2-folding based on linear OA(8⁸¹, 110, F₈, 45) (dual of [110, 29, 46]-code), using

discarding factors / shortening the dual code based on linear OA(8⁸¹, 111, F₈, 45) (dual of [111, 30, 46]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²², 37, F₆₄, 22) (dual of [37, 15, 23]-code or 37-arc in PG(21,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²², 64, F₆₄, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
      - Reedâ€“Solomon code RS(42,64) [i]
  2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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.