MinT - Information on Result #908680

Information on Result #908680

Linear OOA(2²⁴⁶, 126, F₂, 2, 131) (dual of [(126, 2), 6, 132]-NRT-code), using juxtaposition based on

linear OOA(2⁸, 7, F₂, 2, 5) (dual of [(7, 2), 6, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²³², 119, F₂, 2, 125) (dual of [(119, 2), 6, 126]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
      - dual of repetition NRT-code with length 9 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁶⁰, 133, F₂, 2, 137) (dual of [(133, 2), 6, 138]-NRT-code)	[i]		Juxtaposition for OOAs