MinT - Information on Result #1087580

Information on Result #1087580

Linear OOA(3¹⁹⁴, 50, F₃, 4, 161) (dual of [(50, 4), 6, 162]-NRT-code), using juxtaposition based on

linear OOA(3³⁸, 11, F₃, 4, 34) (dual of [(11, 4), 6, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁸, 12, F₃, 4, 34) (dual of [(12, 4), 10, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [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(3¹⁵⁰, 39, F₃, 4, 126) (dual of [(39, 4), 6, 127]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁸, 11, F₃, 4, 34) (dual of [(11, 4), 6, 35]-NRT-code) (see above)
  2. linear OOA(3¹⁰⁶, 28, F₃, 4, 91) (dual of [(28, 4), 6, 92]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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(3¹⁹⁴, 50, F₃, 4, 160) (dual of [(50, 4), 6, 161]-NRT-code)	[i]		Strength Reduction for OOAs