MinT - Information on Result #1025480

Information on Result #1025480

Linear OOA(2¹⁶⁶, 58, F₂, 3, 98) (dual of [(58, 3), 8, 99]-NRT-code), using juxtaposition based on

linear OOA(2²², 10, F₂, 3, 16) (dual of [(10, 3), 8, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(2¹³⁶, 48, F₂, 3, 81) (dual of [(48, 3), 8, 82]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²², 10, F₂, 3, 16) (dual of [(10, 3), 8, 17]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁶, 38, F₂, 3, 64) (dual of [(38, 3), 8, 65]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²², 10, F₂, 3, 16) (dual of [(10, 3), 8, 17]-NRT-code) (see above)
      2. linear OOA(2⁷⁶, 28, F₂, 3, 47) (dual of [(28, 3), 8, 48]-NRT-code), using
        repeating each code word 2 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.