MinT - Information on Result #1026154

Information on Result #1026154

Linear OOA(3¹³⁵, 49, F₃, 3, 96) (dual of [(49, 3), 12, 97]-NRT-code), using juxtaposition based on

linear OOA(3⁵¹, 21, F₃, 3, 38) (dual of [(21, 3), 12, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵¹, 23, F₃, 3, 38) (dual of [(23, 3), 18, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [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(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,26P) [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(3¹³⁵, 49, F₃, 3, 95) (dual of [(49, 3), 12, 96]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹³⁵, 49, F₃, 3, 94) (dual of [(49, 3), 12, 95]-NRT-code)	[i]		Strength Reduction for OOAs