MinT - Information on Result #1086814

Information on Result #1086814

Linear OOA(2²⁰³, 53, F₂, 4, 138) (dual of [(53, 4), 9, 139]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶³, 43, F₂, 4, 112) (dual of [(43, 4), 9, 113]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹²⁷, 34, F₂, 4, 89) (dual of [(34, 4), 9, 90]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: