MinT - Information on Result #1020836

Information on Result #1020836

Linear OOA(3¹⁹¹, 78, F₃, 3, 101) (dual of [(78, 3), 43, 102]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁸, 26, F₃, 3, 33) (dual of [(26, 3), 30, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 27, F₃, 3, 33) (dual of [(27, 3), 33, 34]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,47P) [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(3⁶⁵, 26, F₃, 3, 50) (dual of [(26, 3), 13, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁵, 27, F₃, 3, 50) (dual of [(27, 3), 16, 51]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3⁷⁸, 26, F₃, 3, 78) (dual of [(26, 3), 0, 79]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.