MinT - Information on Result #1010100

Information on Result #1010100

Linear OOA(2¹⁸⁹, 68, F₂, 3, 95) (dual of [(68, 3), 15, 96]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁸, 34, F₂, 3, 47) (dual of [(34, 3), 14, 48]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁸, 17, F₂, 3, 23) (dual of [(17, 3), 13, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁰, 17, F₂, 3, 47) (dual of [(17, 3), 1, 48]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
      - dual of repetition NRT-code with length 17 [i]
linear OOA(2¹⁰¹, 34, F₂, 3, 95) (dual of [(34, 3), 1, 96]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁰¹, 34, F₂, 3, 101) (dual of [(34, 3), 1, 102]-NRT-code), using
  - dual of repetition NRT-code with length 34 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁴⁹, 88, F₂, 3, 122) (dual of [(88, 3), 15, 123]-NRT-code)	[i]		Juxtaposition for OOAs
2	Linear OOA(2²⁵², 89, F₂, 3, 123) (dual of [(89, 3), 15, 124]-NRT-code)	[i]		Juxtaposition for OOAs