MinT - Information on Result #1086753

Information on Result #1086753

Linear OOA(2¹⁷⁸, 47, F₂, 4, 119) (dual of [(47, 4), 10, 120]-NRT-code), using juxtaposition based on

linear OOA(2⁴², 13, F₂, 4, 31) (dual of [(13, 4), 10, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁴², 14, F₂, 4, 31) (dual of [(14, 4), 14, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [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(2¹²⁶, 34, F₂, 4, 87) (dual of [(34, 4), 10, 88]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁵⁸, 17, F₂, 4, 43) (dual of [(17, 4), 10, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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.

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