MinT - Information on Result #1230488

Information on Result #1230488

Digital (40, 57, 1148)-net over F₁₆, using generalized (u,Â u+v)-construction based on

digital (2, 7, 120)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16⁷, 120, F₁₆, 5, 5) (dual of [(120, 5), 593, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(16⁷, 241, F₁₆, 5) (dual of [241, 234, 6]-code), using
    - a code by Danev and Olsson [i]
digital (8, 16, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 8, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
      - the rational function field F₂₅₆(x) [i]
    - Niederreiter sequence [i]
digital (17, 34, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 17, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (41, 58, 1148)-net over F₁₆	[i]		Net Duplication
2	Digital (40, 56, 1148)-net over F₁₆	[i]		m-Reduction