MinT - Information on Result #1009933

Information on Result #1009933

Linear OOA(2¹⁴⁰, 49, F₂, 3, 76) (dual of [(49, 3), 7, 77]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶³, 23, F₂, 3, 38) (dual of [(23, 3), 6, 39]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁵, 10, F₂, 3, 19) (dual of [(10, 3), 5, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁸, 13, F₂, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
    - dual of repetition NRT-code with length 13 [i]
linear OOA(2⁷⁷, 26, F₂, 3, 76) (dual of [(26, 3), 1, 77]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁷⁷, 26, F₂, 3, 77) (dual of [(26, 3), 1, 78]-NRT-code), using
  - dual of repetition NRT-code with length 26 [i]

Mode: Constructive and linear.

None.

None.