MinT - Information on Result #1121016

Information on Result #1121016

Linear OOA(3²⁰³, 44, F₃, 5, 163) (dual of [(44, 5), 17, 164]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁸, 17, F₃, 5, 59) (dual of [(17, 5), 17, 60]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁸, 19, F₃, 5, 59) (dual of [(19, 5), 27, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,35P) [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(3¹¹⁸, 27, F₃, 5, 103) (dual of [(27, 5), 17, 104]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹¹⁸, 28, F₃, 5, 103) (dual of [(28, 5), 22, 104]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,36P) [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(3²⁰³, 44, F₃, 5, 162) (dual of [(44, 5), 17, 163]-NRT-code)	[i]		Strength Reduction for OOAs