MinT - Information on Result #1208671

Information on Result #1208671

Digital (217, 239, 762656)-net over F₃, using (u,Â u+v)-construction based on

digital (17, 28, 56)-net over F₃, using
- trace code for nets [i] based on digital (3, 14, 28)-net over F₉, using
  - net from sequence [i] based on digital (3, 27)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
      - the Hermitian function field over F₉ [i]
digital (189, 211, 762600)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3²¹¹, 762600, F₃, 22, 22) (dual of [(762600, 22), 16776989, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(3²¹¹, 8388600, F₃, 22) (dual of [8388600, 8388389, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(3²¹¹, large, F₃, 22) (dual of [large, large−211, 23]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (218, 240, 762656)-net over F₃	[i]		Net Duplication