MinT - Information on Result #1121030

Information on Result #1121030

Linear OOA(3¹⁸⁹, 41, F₃, 5, 152) (dual of [(41, 5), 16, 153]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁴, 16, F₃, 5, 57) (dual of [(16, 5), 16, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁹, 25, F₃, 5, 94) (dual of [(25, 5), 16, 95]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰⁹, 28, F₃, 5, 94) (dual of [(28, 5), 31, 95]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,45P) [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(3¹⁸⁹, 41, F₃, 5, 151) (dual of [(41, 5), 16, 152]-NRT-code)	[i]		Strength Reduction for OOAs