MinT - Information on Result #1026282

Information on Result #1026282

Linear OOA(3¹⁸⁰, 63, F₃, 3, 133) (dual of [(63, 3), 9, 134]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁸, 19, F₃, 3, 39) (dual of [(19, 3), 9, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²³, 44, F₃, 3, 93) (dual of [(44, 3), 9, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁹, 16, F₃, 3, 32) (dual of [(16, 3), 9, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(3¹⁸⁰, 63, F₃, 3, 132) (dual of [(63, 3), 9, 133]-NRT-code)	[i]		Strength Reduction for OOAs