MinT - Information on Result #1021044

Information on Result #1021044

Linear OOA(3¹⁶⁸, 75, F₃, 3, 77) (dual of [(75, 3), 57, 78]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁰, 25, F₃, 3, 25) (dual of [(25, 3), 35, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁰, 27, F₃, 3, 25) (dual of [(27, 3), 41, 26]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,55P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁵³, 25, F₃, 3, 38) (dual of [(25, 3), 22, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵³, 27, F₃, 3, 38) (dual of [(27, 3), 28, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,42P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁷⁵, 25, F₃, 3, 75) (dual of [(25, 3), 0, 76]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.