MinT - Information on Result #1026436

Information on Result #1026436

Linear OOA(3¹⁹⁸, 68, F₃, 3, 152) (dual of [(68, 3), 6, 153]-NRT-code), using juxtaposition based on

linear OOA(3²⁷, 11, F₃, 3, 23) (dual of [(11, 3), 6, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁷, 12, F₃, 3, 23) (dual of [(12, 3), 9, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [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(3¹⁶⁵, 57, F₃, 3, 128) (dual of [(57, 3), 6, 129]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(3¹⁹⁸, 68, F₃, 3, 151) (dual of [(68, 3), 6, 152]-NRT-code)	[i]		Strength Reduction for OOAs