MinT - Information on Result #1086874

Information on Result #1086874

Linear OOA(2¹⁷², 45, F₂, 4, 120) (dual of [(45, 4), 8, 121]-NRT-code), using juxtaposition based on

linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁶, 36, F₂, 4, 96) (dual of [(36, 4), 8, 97]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁴, 8, F₂, 4, 20) (dual of [(8, 4), 8, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁰⁴, 28, F₂, 4, 75) (dual of [(28, 4), 8, 76]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁴⁸, 14, F₂, 4, 37) (dual of [(14, 4), 8, 38]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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(2²⁰⁸, 54, F₂, 4, 144) (dual of [(54, 4), 8, 145]-NRT-code)	[i]		Juxtaposition for OOAs