MinT - Information on Result #1207990

Information on Result #1207990

Digital (141, 152, 3355447)-net over F₃, using (u,Â u+v)-construction based on

digital (1, 6, 7)-net over F₃, using
- net from sequence [i] based on digital (1, 6)-sequence over F₃, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
digital (135, 146, 3355440)-net over F₃, using
- trace code for nets [i] based on digital (62, 73, 1677720)-net over F₉, using
  - net defined by OOA [i] based on linear OOA(9⁷³, 1677720, F₉, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(9⁷³, 8388601, F₉, 11) (dual of [8388601, 8388528, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(9⁷³, large, F₉, 11) (dual of [large, large−73, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (187, 198, 6710894)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
2	Linear OOA(3¹⁵², 3355447, F₃, 5, 11) (dual of [(3355447, 5), 16777083, 12]-NRT-code)	[i]		Extracting Embedded OOA