MinT - Information on Result #2254920

Information on Result #2254920

Linear OA(16¹²⁵, 143, F₁₆, 89) (dual of [143, 18, 90]-code), using 1 times truncation based on linear OA(16¹²⁶, 144, F₁₆, 90) (dual of [144, 18, 91]-code), using

juxtaposition [i] based on
1. linear OA(16⁴⁷, 65, F₁₆, 41) (dual of [65, 18, 42]-code), using
  - extended algebraic-geometric code AG_e(F,23P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
2. linear OA(16⁶¹, 79, F₁₆, 48) (dual of [79, 18, 49]-code), using
  - constructionÂ X applied to AG(F,15P) âŠ‚ AG(F,23P) [i] based on
    1. linear OA(16⁵⁴, 64, F₁₆, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
    2. linear OA(16⁴⁶, 64, F₁₆, 40) (dual of [64, 18, 41]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
    3. linear OA(16⁷, 15, F₁₆, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
      - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
        Reedâ€“Solomon code RS(9,16) [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.