MinT - Information on Result #2217514

Information on Result #2217514

Linear OA(16¹²⁷, 146, F₁₆, 88) (dual of [146, 19, 89]-code), using strength reduction based on linear OA(16¹²⁷, 146, F₁₆, 89) (dual of [146, 19, 90]-code), using

repeating each code word 2 times [i] based on linear OA(16⁵⁴, 73, F₁₆, 44) (dual of [73, 19, 45]-code), using
- constructionÂ X applied to AG(F,19P) âŠ‚ AG(F,24P) [i] based on
  1. linear OA(16⁵⁰, 64, F₁₆, 44) (dual of [64, 14, 45]-code), using algebraic-geometric code AG(F,19P) [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(16⁴⁵, 64, F₁₆, 39) (dual of [64, 19, 40]-code), using algebraic-geometric code AG(F,24P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16⁴, 9, F₁₆, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁴, 16, F₁₆, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
      - Reedâ€“Solomon code RS(12,16) [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.