MinT - Information on Result #1121005

Information on Result #1121005

Linear OOA(3²⁰², 44, F₃, 5, 161) (dual of [(44, 5), 18, 162]-NRT-code), using juxtaposition based on

linear OOA(3⁷², 18, F₃, 5, 63) (dual of [(18, 5), 18, 64]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷², 19, F₃, 5, 63) (dual of [(19, 5), 23, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [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(3¹¹², 26, F₃, 5, 97) (dual of [(26, 5), 18, 98]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹¹², 28, F₃, 5, 97) (dual of [(28, 5), 28, 98]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,42P) [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(3²⁰², 44, F₃, 5, 160) (dual of [(44, 5), 18, 161]-NRT-code)	[i]		Strength Reduction for OOAs