MinT - Information on Result #1215008

Information on Result #1215008

Digital (13, 19, 320)-net over F₈, using (u,Â u+v)-construction based on

digital (2, 5, 208)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8⁵, 208, F₈, 3, 3) (dual of [(208, 3), 619, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(8⁵, 208, F₈, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁵, 208, F₈, 3) (dual of [208, 203, 4]-code or 208-cap in PG(4,8)), using
      - caps completed using a computer search [i]
digital (8, 14, 160)-net over F₈, using
- trace code for nets [i] based on digital (1, 7, 80)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (97, 109, 2796520)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (104, 117, 2796520)-net over F₈	[i]		(u,Â u+v)-Construction for Nets