MinT - Information on Result #1010023

Information on Result #1010023

Linear OOA(2¹⁵⁹, 55, F₂, 3, 86) (dual of [(55, 3), 6, 87]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷³, 26, F₂, 3, 43) (dual of [(26, 3), 5, 44]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁹, 11, F₂, 3, 21) (dual of [(11, 3), 4, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁴⁴, 15, F₂, 3, 43) (dual of [(15, 3), 1, 44]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴⁴, 15, F₂, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
      - dual of repetition NRT-code with length 15 [i]
linear OOA(2⁸⁶, 29, F₂, 3, 86) (dual of [(29, 3), 1, 87]-NRT-code), using
- dual of repetition NRT-code with length 29 [i]

Mode: Constructive and linear.

None.

None.