MinT - Information on Result #1120560

Information on Result #1120560

Linear OOA(2²⁴³, 53, F₂, 5, 157) (dual of [(53, 5), 22, 158]-NRT-code), using juxtaposition based on

linear OOA(2⁸⁸, 22, F₂, 5, 62) (dual of [(22, 5), 22, 63]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2⁸³, 21, F₂, 5, 62) (dual of [(21, 5), 22, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,42P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2¹³³, 31, F₂, 5, 94) (dual of [(31, 5), 22, 95]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹³³, 32, F₂, 5, 94) (dual of [(32, 5), 27, 95]-NRT-code), using
  - algebraic-geometric NRT-code AG(5;F,65P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.