MinT - Information on Result #1010329

Information on Result #1010329

Linear OOA(2²³⁷, 81, F₂, 3, 127) (dual of [(81, 3), 6, 128]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰⁹, 38, F₂, 3, 63) (dual of [(38, 3), 5, 64]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁶, 17, F₂, 3, 31) (dual of [(17, 3), 5, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶³, 21, F₂, 3, 63) (dual of [(21, 3), 0, 64]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹²⁸, 43, F₂, 3, 127) (dual of [(43, 3), 1, 128]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹²⁸, 43, F₂, 3, 128) (dual of [(43, 3), 1, 129]-NRT-code), using
  - dual of repetition NRT-code with length 43 [i]

Mode: Constructive and linear.

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