MinT - Information on Result #1086946

Information on Result #1086946

Linear OOA(2¹²⁵, 33, F₂, 4, 91) (dual of [(33, 4), 7, 92]-NRT-code), using juxtaposition based on

linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,12P) [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(2⁸⁵, 23, F₂, 4, 63) (dual of [(23, 4), 7, 64]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁹, 9, F₂, 4, 24) (dual of [(9, 4), 7, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁴⁹, 14, F₂, 4, 38) (dual of [(14, 4), 7, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,17P) [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(2¹⁶⁵, 43, F₂, 4, 119) (dual of [(43, 4), 7, 120]-NRT-code)	[i]		Juxtaposition for OOAs