MinT - Information on Result #1025626

Information on Result #1025626

Linear OOA(2²¹⁶, 74, F₂, 3, 139) (dual of [(74, 3), 6, 140]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁵, 67, F₂, 3, 126) (dual of [(67, 3), 6, 127]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code) (see above)
  2. linear OOA(2¹⁷⁴, 60, F₂, 3, 113) (dual of [(60, 3), 6, 114]-NRT-code), using
    - repeating each code word 6 times [i] based on linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.