MinT - Information on Result #1025461

Information on Result #1025461

Linear OOA(2²¹⁴, 74, F₂, 3, 125) (dual of [(74, 3), 8, 126]-NRT-code), using juxtaposition based on

linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁸⁷, 65, F₂, 3, 110) (dual of [(65, 3), 8, 111]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code) (see above)
  2. linear OOA(2¹⁶⁰, 56, F₂, 3, 95) (dual of [(56, 3), 8, 96]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2³⁴, 14, F₂, 3, 23) (dual of [(14, 3), 8, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.