MinT - Information on Result #1121071

Information on Result #1121071

Linear OOA(3¹⁸⁷, 40, F₃, 5, 155) (dual of [(40, 5), 13, 156]-NRT-code), using juxtaposition based on

linear OOA(3⁵², 13, F₃, 5, 47) (dual of [(13, 5), 13, 48]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 52, 13)-net over F₃, using
  - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
linear OOA(3¹²², 27, F₃, 5, 107) (dual of [(27, 5), 13, 108]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹²², 28, F₃, 5, 107) (dual of [(28, 5), 18, 108]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,32P) [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(3¹⁸⁷, 40, F₃, 5, 154) (dual of [(40, 5), 13, 155]-NRT-code)	[i]		Strength Reduction for OOAs