MinT - Information on Result #1229736

Information on Result #1229736

Digital (18, 23, 32264)-net over F₈, using generalized (u,Â u+v)-construction based on

digital (0, 0, 4033)-net over F₈, using
- s-reduction based on digital (0, 0, s)-net over F₈ for arbitrarily large s, using
  - arbitrary set of 8⁰ points [i]
digital (0, 0, 4033)-net over F₈ (see above)
digital (0, 0, 4033)-net over F₈ (see above)
digital (0, 1, 4033)-net over F₈, using
- s-reduction based on digital (0, 1, s)-net over F₈ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 4033)-net over F₈ (see above)
digital (0, 1, 4033)-net over F₈ (see above)
digital (3, 5, 4033)-net over F₈, using
- s-reduction based on digital (3, 5, 4681)-net over F₈, using
  - kÂ =Â 2 construction [i]
digital (10, 15, 4033)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8¹⁵, 4033, F₈, 5, 5) (dual of [(4033, 5), 20150, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(8¹⁵, 8067, F₈, 5) (dual of [8067, 8052, 6]-code), using
    - 1 times code embedding in larger space [i] based on linear OA(8¹⁴, 8066, F₈, 5) (dual of [8066, 8052, 6]-code), using
      - trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (94, 105, 3387704)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (87, 97, 3387704)-net over F₈	[i]		(u,Â u+v)-Construction for Nets