MinT - Information on Result #847438

Information on Result #847438

Linear OOA(8⁹⁷, 64, F₈, 2, 55) (dual of [(64, 2), 31, 56]-NRT-code), using OOA 2-folding based on linear OA(8⁹⁷, 128, F₈, 55) (dual of [128, 31, 56]-code), using

discarding factors / shortening the dual code based on linear OA(8⁹⁷, 129, F₈, 55) (dual of [129, 32, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁷, 43, F₆₄, 27) (dual of [43, 16, 28]-code or 43-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(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.