MinT - Information on Result #848553

Information on Result #848553

Linear OOA(8¹¹⁸, 71, F₈, 2, 72) (dual of [(71, 2), 24, 73]-NRT-code), using OOA 2-folding based on linear OA(8¹¹⁸, 142, F₈, 72) (dual of [142, 24, 73]-code), using

2 times truncation [i] based on linear OA(8¹²⁰, 144, F₈, 74) (dual of [144, 24, 75]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁴, 36, F₆₄, 24) (dual of [36, 12, 25]-code or 36-arc in PG(23,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
      - Reedâ€“Solomon code RS(40,64) [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.