MinT - Information on Result #1208252

Information on Result #1208252

Digital (191, 205, 3595117)-net over F₃, using (u,Â u+v)-construction based on

digital (0, 7, 4)-net over F₃, using
- net from sequence [i] based on digital (0, 3)-sequence over F₃, using
  - Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 0 and N(F) ≥ 4, using
    - the rational function field F₃(x) [i]
  - Niederreiter sequence [i]
digital (184, 198, 3595113)-net over F₃, using
- trace code for nets [i] based on digital (52, 66, 1198371)-net over F₂₇, using
  - net defined by OOA [i] based on linear OOA(27⁶⁶, 1198371, F₂₇, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
    - OA 7-folding and stacking [i] based on linear OA(27⁶⁶, 8388597, F₂₇, 14) (dual of [8388597, 8388531, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(27⁶⁶, large, F₂₇, 14) (dual of [large, large−66, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁰⁵, 3595117, F₃, 5, 14) (dual of [(3595117, 5), 17975380, 15]-NRT-code)	[i]		Extracting Embedded OOA