MinT - Information on Result #1087560

Information on Result #1087560

Linear OOA(3²³⁷, 61, F₃, 4, 195) (dual of [(61, 4), 7, 196]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁹, 19, F₃, 4, 60) (dual of [(19, 4), 7, 61]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,15P) [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(3¹⁶¹, 42, F₃, 4, 134) (dual of [(42, 4), 7, 135]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁴⁹, 14, F₃, 4, 43) (dual of [(14, 4), 7, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁰⁵, 28, F₃, 4, 90) (dual of [(28, 4), 7, 91]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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(3²³¹, 59, F₃, 4, 189) (dual of [(59, 4), 5, 190]-NRT-code)	[i]		Truncation for OOAs