MinT - Information on Result #1842316

Information on Result #1842316

(14, 20, 579)-net in base 8, using (u,Â u+v)-construction based on

digital (1, 4, 65)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8⁴, 65, F₈, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(8⁴, 65, F₈, 2, 3) (dual of [(65, 2), 126, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)), using
      - ovoid in PG(3,Â 8) [i]
(10, 16, 514)-net in base 8, using
- base change [i] based on digital (6, 12, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 6, 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]

None.

The following results depend on this result:

	Result		This result only	Method
1	(98, 110, 2796779)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
2	(105, 118, 2796779)-net in base 8	[i]		(u,Â u+v)-Construction for Nets