MinT - Information on Result #1027637

Information on Result #1027637

Linear OOA(5¹⁴², 49, F₅, 3, 124) (dual of [(49, 3), 5, 125]-NRT-code), using juxtaposition based on

linear OOA(5⁴³, 16, F₅, 3, 40) (dual of [(16, 3), 5, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [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(5⁹⁴, 33, F₅, 3, 83) (dual of [(33, 3), 5, 84]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(5⁴⁰, 15, F₅, 3, 37) (dual of [(15, 3), 5, 38]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5⁴⁰, 16, F₅, 3, 37) (dual of [(16, 3), 8, 38]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16 (see above)
  2. linear OOA(5⁴⁹, 18, F₅, 3, 45) (dual of [(18, 3), 5, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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.

None.