MinT - Information on Result #1087324

Information on Result #1087324

Linear OOA(3¹⁴⁹, 41, F₃, 4, 113) (dual of [(41, 4), 15, 114]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁵, 15, F₃, 4, 38) (dual of [(15, 4), 15, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁵, 16, F₃, 4, 38) (dual of [(16, 4), 19, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,25P) [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(3⁸⁹, 26, F₃, 4, 74) (dual of [(26, 4), 15, 75]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸⁹, 27, F₃, 4, 74) (dual of [(27, 4), 19, 75]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,33P) [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(3¹⁴⁹, 41, F₃, 4, 112) (dual of [(41, 4), 15, 113]-NRT-code)	[i]		Strength Reduction for OOAs