MinT - Information on Result #664020

Information on Result #664020

Linear OA(9¹²⁴, 135, F₉, 89) (dual of [135, 11, 90]-code), using generalized (u,Â u+v)-construction based on

linear OA(9¹⁰, 15, F₉, 9) (dual of [15, 5, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
  - extended quadratic residue code Q_e(20,9) [i]
linear OA(9¹², 15, F₉, 11) (dual of [15, 3, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹², 16, F₉, 11) (dual of [16, 4, 12]-code), using
  - extended algebraic-geometric code AG_e(F,4P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [i]
linear OA(9¹³, 15, F₉, 12) (dual of [15, 2, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹³, 16, F₉, 12) (dual of [16, 3, 13]-code), using
  - extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16 (see above)
linear OA(9¹⁴, 15, F₉, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,9)), using
- dual of repetition code with length 15 [i]
linear OA(9¹⁵, 15, F₉, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,9)), using
- complete OA / dual of code with only one code word [i]
linear OA(9¹⁵, 15, F₉, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,9)) (see above)
linear OA(9¹⁵, 15, F₉, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,9)) (see above)
linear OA(9¹⁵, 15, F₉, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,9)) (see above)
linear OA(9¹⁵, 15, F₉, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,9)) (see above)

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.