MinT - Information on Result #1027396

Information on Result #1027396

Linear OOA(4²¹⁶, 74, F₄, 3, 178) (dual of [(74, 3), 6, 179]-NRT-code), using juxtaposition based on

linear OOA(4³⁹, 15, F₄, 3, 35) (dual of [(15, 3), 6, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁷¹, 59, F₄, 3, 142) (dual of [(59, 3), 6, 143]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4¹²⁹, 45, F₄, 3, 108) (dual of [(45, 3), 6, 109]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
      2. linear OOA(4⁸⁷, 31, F₄, 3, 74) (dual of [(31, 3), 6, 75]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
        linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: