MinT - Information on Result #1025300

Information on Result #1025300

Linear OOA(2²¹⁸, 76, F₂, 3, 119) (dual of [(76, 3), 10, 120]-NRT-code), using juxtaposition based on

linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁷⁶, 62, F₂, 3, 97) (dual of [(62, 3), 10, 98]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code) (see above)
  2. linear OOA(2¹³⁴, 48, F₂, 3, 75) (dual of [(48, 3), 10, 76]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code) (see above)
      2. linear OOA(2⁹², 34, F₂, 3, 53) (dual of [(34, 3), 10, 54]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,24P) [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.

None.