MinT - Information on Result #1026285

Information on Result #1026285

Linear OOA(3¹³⁸, 49, F₃, 3, 102) (dual of [(49, 3), 9, 103]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁴, 21, F₃, 3, 41) (dual of [(21, 3), 9, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 24, F₃, 3, 41) (dual of [(24, 3), 18, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(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(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(3¹³⁸, 49, F₃, 3, 101) (dual of [(49, 3), 9, 102]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹³⁸, 49, F₃, 3, 100) (dual of [(49, 3), 9, 101]-NRT-code)	[i]		Strength Reduction for OOAs