MinT - Information on Result #1121176

Information on Result #1121176

Linear OOA(3²⁴³, 50, F₃, 5, 209) (dual of [(50, 5), 7, 210]-NRT-code), using juxtaposition based on

linear OOA(3⁵³, 12, F₃, 5, 49) (dual of [(12, 5), 7, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,10P) [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(3¹⁸³, 38, F₃, 5, 159) (dual of [(38, 5), 7, 160]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁸⁸, 19, F₃, 5, 79) (dual of [(19, 5), 7, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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(3²⁴³, 50, F₃, 5, 208) (dual of [(50, 5), 7, 209]-NRT-code)	[i]		Strength Reduction for OOAs