MinT - Information on Result #1215037

Information on Result #1215037

Digital (31, 39, 8200)-net over F₈, using (u,Â u+v)-construction based on

digital (0, 4, 9)-net over F₈, using
- net from sequence [i] based on digital (0, 8)-sequence over F₈, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 0 and N(F) ≥ 9, using
    - the rational function field F₈(x) [i]
  - Niederreiter sequence [i]
digital (27, 35, 8191)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8³⁵, 8191, F₈, 8, 8) (dual of [(8191, 8), 65493, 9]-NRT-code), using
  - OA 4-folding and stacking [i] based on linear OA(8³⁵, 32764, F₈, 8) (dual of [32764, 32729, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(8³⁵, 32767, F₈, 8) (dual of [32767, 32732, 9]-code), using
      - 1 times truncation [i] based on linear OA(8³⁶, 32768, F₈, 9) (dual of [32768, 32732, 10]-code), using
        an extension C_e(8) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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	Digital (145, 161, 2105350)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (152, 169, 2105350)-net over F₈	[i]		(u,Â u+v)-Construction for Nets