MinT - Information on Result #859150

Information on Result #859150

Linear OOA(16⁶⁵, 36, F₁₆, 2, 56) (dual of [(36, 2), 7, 57]-NRT-code), using OOA 2-folding based on linear OA(16⁶⁵, 72, F₁₆, 56) (dual of [72, 7, 57]-code), using

2 times truncation [i] based on linear OA(16⁶⁷, 74, F₁₆, 58) (dual of [74, 7, 59]-code), using
- constructionÂ X applied to AG(F,5P) âŠ‚ AG(F,12P) [i] based on
  1. linear OA(16⁶¹, 64, F₁₆, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) with known gap numbers [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(16⁵⁷, 64, F₁₆, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16⁶, 10, F₁₆, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁶, 16, F₁₆, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
      - Reedâ€“Solomon code RS(10,16) [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.