MinT - Information on Result #1087617

Information on Result #1087617

Linear OOA(3¹⁹⁵, 50, F₃, 4, 165) (dual of [(50, 4), 5, 166]-NRT-code), using juxtaposition based on

linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁷, 43, F₃, 4, 142) (dual of [(43, 4), 5, 143]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code) (see above)
  2. linear OOA(3¹³⁹, 36, F₃, 4, 119) (dual of [(36, 4), 5, 120]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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(3¹⁸⁵, 47, F₃, 4, 155) (dual of [(47, 4), 3, 156]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(3¹⁸³, 47, F₃, 4, 153) (dual of [(47, 4), 5, 154]-NRT-code)	[i]		Truncation for OOAs