MinT - Information on Result #965550

Information on Result #965550

Linear OOA(4¹⁴², 81, F₄, 3, 55) (dual of [(81, 3), 101, 56]-NRT-code), using OOA 3-folding based on linear OA(4¹⁴², 243, F₄, 55) (dual of [243, 101, 56]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁴², 244, F₄, 55) (dual of [244, 102, 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(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.