MinT - Information on Result #1026191

Information on Result #1026191

Linear OOA(3¹⁷⁸, 63, F₃, 3, 127) (dual of [(63, 3), 11, 128]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁶, 19, F₃, 3, 37) (dual of [(19, 3), 11, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(3¹²¹, 44, F₃, 3, 89) (dual of [(44, 3), 11, 90]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁷, 16, F₃, 3, 30) (dual of [(16, 3), 11, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(3¹⁷⁸, 63, F₃, 3, 126) (dual of [(63, 3), 11, 127]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷⁸, 63, F₃, 3, 125) (dual of [(63, 3), 11, 126]-NRT-code)	[i]		Strength Reduction for OOAs