MinT - Information on Result #663434

Information on Result #663434

Linear OA(8⁸³, 98, F₈, 53) (dual of [98, 15, 54]-code), using generalized (u,Â u+v)-construction based on

linear OA(8⁸, 14, F₈, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
  - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OA(8⁹, 14, F₈, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14 (see above)
linear OA(8¹¹, 14, F₈, 10) (dual of [14, 3, 11]-code), using
- extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14 (see above)
linear OA(8¹³, 14, F₈, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,8)), using
- dual of repetition code with length 14 [i]
linear OA(8¹⁴, 14, F₈, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,8)), using
- complete OA / dual of code with only one code word [i]
linear OA(8¹⁴, 14, F₈, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,8)) (see above)
linear OA(8¹⁴, 14, F₈, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,8)) (see above)

Mode: Constructive and linear.

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