MinT - Information on Result #664034

Information on Result #664034

Linear OA(9¹⁰⁰, 112, F₉, 69) (dual of [112, 12, 70]-code), using generalized (u,Â u+v)-construction based on

linear OA(9⁹, 14, F₉, 8) (dual of [14, 5, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁹, 19, F₉, 8) (dual of [19, 10, 9]-code), using
  - 1 times truncation [i] 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(9¹⁰, 14, F₉, 9) (dual of [14, 4, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code) (see above)
linear OA(9¹², 14, F₉, 11) (dual of [14, 2, 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, 14, F₉, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,9)), using
- dual of repetition code with length 14 [i]
linear OA(9¹⁴, 14, F₉, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,9)), using
- complete OA / dual of code with only one code word [i]
linear OA(9¹⁴, 14, F₉, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,9)) (see above)
linear OA(9¹⁴, 14, F₉, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,9)) (see above)
linear OA(9¹⁴, 14, F₉, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,9)) (see above)

Mode: Constructive and linear.

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