MinT - Information on Result #1027657

Information on Result #1027657

Linear OOA(5¹⁴³, 49, F₅, 3, 127) (dual of [(49, 3), 4, 128]-NRT-code), using juxtaposition based on

linear OOA(5⁴⁴, 16, F₅, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5⁹⁵, 33, F₅, 3, 85) (dual of [(33, 3), 4, 86]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(5⁴¹, 15, F₅, 3, 38) (dual of [(15, 3), 4, 39]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5⁴¹, 16, F₅, 3, 38) (dual of [(16, 3), 7, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16 (see above)
  2. linear OOA(5⁵⁰, 18, F₅, 3, 46) (dual of [(18, 3), 4, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: