MinT - Information on Result #1026449

Information on Result #1026449

Linear OOA(3¹⁷¹, 59, F₃, 3, 132) (dual of [(59, 3), 6, 133]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹³⁵, 47, F₃, 3, 105) (dual of [(47, 3), 6, 106]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code) (see above)
  2. linear OOA(3⁹⁹, 35, F₃, 3, 78) (dual of [(35, 3), 6, 79]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3¹⁷¹, 59, F₃, 3, 131) (dual of [(59, 3), 6, 132]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷¹, 59, F₃, 3, 130) (dual of [(59, 3), 6, 131]-NRT-code)	[i]		Strength Reduction for OOAs