MinT - Information on Result #1025571

Information on Result #1025571

Linear OOA(2²⁰⁶, 71, F₂, 3, 126) (dual of [(71, 3), 7, 127]-NRT-code), using juxtaposition based on

linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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(2¹⁷⁶, 61, F₂, 3, 108) (dual of [(61, 3), 7, 109]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code) (see above)
  2. linear OOA(2¹⁴⁶, 51, F₂, 3, 90) (dual of [(51, 3), 7, 91]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²⁰, 9, F₂, 3, 15) (dual of [(9, 3), 7, 16]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;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(2¹¹⁹, 42, F₂, 3, 74) (dual of [(42, 3), 7, 75]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2³⁵, 14, F₂, 3, 24) (dual of [(14, 3), 7, 25]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;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(2²³⁶, 81, F₂, 3, 144) (dual of [(81, 3), 7, 145]-NRT-code)	[i]		Juxtaposition for OOAs