MinT - Information on Result #1026378

Information on Result #1026378

Linear OOA(3²³³, 80, F₃, 3, 177) (dual of [(80, 3), 7, 178]-NRT-code), using juxtaposition based on

linear OOA(3²⁹, 12, F₃, 3, 25) (dual of [(12, 3), 7, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [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(3¹⁹⁷, 68, F₃, 3, 151) (dual of [(68, 3), 7, 152]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²⁹, 12, F₃, 3, 25) (dual of [(12, 3), 7, 26]-NRT-code) (see above)
  2. linear OOA(3¹⁶¹, 56, F₃, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(3²³³, 80, F₃, 3, 176) (dual of [(80, 3), 7, 177]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²³³, 80, F₃, 3, 175) (dual of [(80, 3), 7, 176]-NRT-code)	[i]		Strength Reduction for OOAs