MinT - Information on Result #983650

Information on Result #983650

Linear OOA(8¹⁴⁴, 53, F₈, 3, 99) (dual of [(53, 3), 15, 100]-NRT-code), using OOA 3-folding based on linear OA(8¹⁴⁴, 159, F₈, 99) (dual of [159, 15, 100]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁴⁴, 160, F₈, 99) (dual of [160, 16, 100]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁴, 32, F₆₄, 24) (dual of [32, 8, 25]-code or 32-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(8³, 5, F₈, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
    - discarding factors / shortening the dual code based on linear OA(8³, 8, F₈, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
      - Reedâ€“Solomon code RS(5,8) [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.