MinT - Information on Result #1087620

Information on Result #1087620

Linear OOA(3²⁴³, 62, F₃, 4, 205) (dual of [(62, 4), 5, 206]-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(3²¹⁵, 55, F₃, 4, 182) (dual of [(55, 4), 5, 183]-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(3¹⁸⁷, 48, F₃, 4, 159) (dual of [(48, 4), 5, 160]-NRT-code), using
    - repeating each code word 4 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(3²⁴¹, 61, F₃, 4, 203) (dual of [(61, 4), 3, 204]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(3²³¹, 59, F₃, 4, 193) (dual of [(59, 4), 5, 194]-NRT-code)	[i]		Truncation for OOAs