MinT - Information on Result #2246987

Information on Result #2246987

Linear OA(5¹⁴⁷, 167, F₅, 87) (dual of [167, 20, 88]-code), using 1 times truncation based on linear OA(5¹⁴⁸, 168, F₅, 88) (dual of [168, 20, 89]-code), using

strength reduction [i] based on linear OA(5¹⁴⁸, 168, F₅, 89) (dual of [168, 20, 90]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25³², 42, F₂₅, 29) (dual of [42, 10, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(25³², 52, F₂₅, 29) (dual of [52, 20, 30]-code), using
      - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 52, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(5², 4, F₅, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
    - discarding factors / shortening the dual code based on linear OA(5², 5, F₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
      - Reedâ€“Solomon code RS(3,5) [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.