MinT - Information on Result #1120720

Information on Result #1120720

Linear OOA(2²⁶⁰, 54, F₂, 5, 191) (dual of [(54, 5), 10, 192]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁰, 10, F₂, 5, 34) (dual of [(10, 5), 10, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹⁰, 44, F₂, 5, 156) (dual of [(44, 5), 10, 157]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁰, 10, F₂, 5, 34) (dual of [(10, 5), 10, 35]-NRT-code) (see above)
  2. linear OOA(2¹⁶⁰, 34, F₂, 5, 121) (dual of [(34, 5), 10, 122]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁷⁵, 17, F₂, 5, 60) (dual of [(17, 5), 10, 61]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;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.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁶⁰, 54, F₂, 5, 190) (dual of [(54, 5), 10, 191]-NRT-code)	[i]		Strength Reduction for OOAs