MinT - Information on Result #1121044

Information on Result #1121044

Linear OOA(3¹⁹⁵, 42, F₃, 5, 159) (dual of [(42, 5), 15, 160]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁰, 15, F₃, 5, 53) (dual of [(15, 5), 15, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁰, 16, F₃, 5, 53) (dual of [(16, 5), 20, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,26P) [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(3¹²⁰, 27, F₃, 5, 105) (dual of [(27, 5), 15, 106]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹²⁰, 28, F₃, 5, 105) (dual of [(28, 5), 20, 106]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,34P) [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(3¹⁹⁵, 42, F₃, 5, 158) (dual of [(42, 5), 15, 159]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁹⁵, 42, F₃, 5, 157) (dual of [(42, 5), 15, 158]-NRT-code)	[i]		Strength Reduction for OOAs