MinT - Information on Result #1026059

Information on Result #1026059

Linear OOA(3¹³², 49, F₃, 3, 90) (dual of [(49, 3), 15, 91]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁸, 21, F₃, 3, 35) (dual of [(21, 3), 15, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 24, F₃, 3, 35) (dual of [(24, 3), 24, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,36P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OOA(3⁶⁹, 28, F₃, 3, 54) (dual of [(28, 3), 15, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(3¹³², 49, F₃, 3, 89) (dual of [(49, 3), 15, 90]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹³², 49, F₃, 3, 88) (dual of [(49, 3), 15, 89]-NRT-code)	[i]		Strength Reduction for OOAs