MinT - Information on Result #1026188

Information on Result #1026188

Linear OOA(3²¹¹, 74, F₃, 3, 152) (dual of [(74, 3), 11, 153]-NRT-code), using juxtaposition based on

linear OOA(3⁴³, 18, F₃, 3, 34) (dual of [(18, 3), 11, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴³, 19, F₃, 3, 34) (dual of [(19, 3), 14, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3¹⁵⁷, 56, F₃, 3, 117) (dual of [(56, 3), 11, 118]-NRT-code), using
- repeating each code word 2 times [i] based on 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(3²¹¹, 74, F₃, 3, 151) (dual of [(74, 3), 11, 152]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²¹¹, 74, F₃, 3, 150) (dual of [(74, 3), 11, 151]-NRT-code)	[i]		Strength Reduction for OOAs