MinT - Information on Result #1025682

Information on Result #1025682

Linear OOA(2²¹⁷, 74, F₂, 3, 147) (dual of [(74, 3), 5, 148]-NRT-code), using juxtaposition based on

linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰², 69, F₂, 3, 137) (dual of [(69, 3), 5, 138]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) (see above)
  2. linear OOA(2¹⁸⁷, 64, F₂, 3, 127) (dual of [(64, 3), 5, 128]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(2¹⁹, 8, F₂, 3, 15) (dual of [(8, 3), 5, 16]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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(2²³², 79, F₂, 3, 157) (dual of [(79, 3), 5, 158]-NRT-code)	[i]		Juxtaposition for OOAs