MinT - Information on Result #1087486

Information on Result #1087486

Linear OOA(3²⁴³, 63, F₃, 4, 196) (dual of [(63, 4), 9, 197]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁷, 19, F₃, 4, 58) (dual of [(19, 4), 9, 59]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,17P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁷, 44, F₃, 4, 137) (dual of [(44, 4), 9, 138]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁵, 16, F₃, 4, 48) (dual of [(16, 4), 9, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁰³, 28, F₃, 4, 88) (dual of [(28, 4), 9, 89]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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(3²⁴³, 63, F₃, 4, 195) (dual of [(63, 4), 9, 196]-NRT-code)	[i]		Strength Reduction for OOAs