MinT - Information on Result #1120633

Information on Result #1120633

Linear OOA(2²¹², 45, F₂, 5, 150) (dual of [(45, 5), 13, 151]-NRT-code), using juxtaposition based on

linear OOA(2⁵², 13, F₂, 5, 41) (dual of [(13, 5), 13, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁵², 14, F₂, 5, 41) (dual of [(14, 5), 18, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,28P) [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(2¹⁴⁷, 32, F₂, 5, 108) (dual of [(32, 5), 13, 109]-NRT-code), using
- algebraic-geometric NRT-code AG(5;F,51P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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