MinT - Information on Result #1026257

Information on Result #1026257

Linear OOA(3¹⁹², 67, F₃, 3, 142) (dual of [(67, 3), 9, 143]-NRT-code), using juxtaposition based on

linear OOA(3²⁴, 11, F₃, 3, 20) (dual of [(11, 3), 9, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁴, 12, F₃, 3, 20) (dual of [(12, 3), 12, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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(3¹⁵⁹, 56, F₃, 3, 121) (dual of [(56, 3), 9, 122]-NRT-code), using
- repeating each code word 2 times [i] based on 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(3¹⁹², 67, F₃, 3, 141) (dual of [(67, 3), 9, 142]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁹², 67, F₃, 3, 140) (dual of [(67, 3), 9, 141]-NRT-code)	[i]		Strength Reduction for OOAs