MinT - Information on Result #1120857

Information on Result #1120857

Linear OOA(2²⁰⁸, 43, F₂, 5, 162) (dual of [(43, 5), 7, 163]-NRT-code), using juxtaposition based on

linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;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(2¹⁵⁸, 33, F₂, 5, 124) (dual of [(33, 5), 7, 125]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁸, 23, F₂, 5, 86) (dual of [(23, 5), 7, 87]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;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(2⁶³, 14, F₂, 5, 52) (dual of [(14, 5), 7, 53]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;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(2²⁵⁸, 53, F₂, 5, 200) (dual of [(53, 5), 7, 201]-NRT-code)	[i]		Juxtaposition for OOAs