MinT - Information on Result #1010339

Information on Result #1010339

Linear OOA(2²⁴¹, 82, F₂, 3, 129) (dual of [(82, 3), 5, 130]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹², 39, F₂, 3, 64) (dual of [(39, 3), 5, 65]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁷, 17, F₂, 3, 32) (dual of [(17, 3), 4, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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(2⁶⁵, 22, F₂, 3, 64) (dual of [(22, 3), 1, 65]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶⁵, 22, F₂, 3, 65) (dual of [(22, 3), 1, 66]-NRT-code), using
      - dual of repetition NRT-code with length 22 [i]
linear OOA(2¹²⁹, 43, F₂, 3, 129) (dual of [(43, 3), 0, 130]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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