MinT - Information on Result #848072

Information on Result #848072

Linear OOA(8⁹⁶, 54, F₈, 2, 64) (dual of [(54, 2), 12, 65]-NRT-code), using OOA 2-folding based on linear OA(8⁹⁶, 108, F₈, 64) (dual of [108, 12, 65]-code), using

strength reduction [i] based on linear OA(8⁹⁶, 108, F₈, 65) (dual of [108, 12, 66]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²¹, 27, F₆₄, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
      - Reedâ€“Solomon code RS(43,64) [i]
  2. linear OA(8², 4, F₈, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
    - discarding factors / shortening the dual code based on linear OA(8², 8, F₈, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
      - Reedâ€“Solomon code RS(6,8) [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.