MinT - Information on Result #1026415

Information on Result #1026415

Linear OOA(3²⁰⁴, 70, F₃, 3, 157) (dual of [(70, 3), 6, 158]-NRT-code), using juxtaposition based on

linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [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(3¹⁸³, 63, F₃, 3, 142) (dual of [(63, 3), 6, 143]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code) (see above)
  2. linear OOA(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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(3²²⁵, 77, F₃, 3, 172) (dual of [(77, 3), 6, 173]-NRT-code)	[i]		Juxtaposition for OOAs
2	Linear OOA(3²²⁸, 78, F₃, 3, 174) (dual of [(78, 3), 6, 175]-NRT-code)	[i]		Juxtaposition for OOAs