MinT - Information on Result #1178999

Information on Result #1178999

Digital (9, 12, 34566)-net over F₄, using net defined by OOA based on linear OOA(4¹², 34566, F₄, 3, 3) (dual of [(34566, 3), 103686, 4]-NRT-code), using

appending kth column [i] based on linear OOA(4¹², 34566, F₄, 2, 3) (dual of [(34566, 2), 69120, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹², 34566, F₄, 3) (dual of [34566, 34554, 4]-code or 34566-cap in PG(11,4)), using
  - product of projective cap with cap in AG(5,Â 4) [i] based on linear OA(4⁷, 288, F₄, 3) (dual of [288, 281, 4]-code or 288-cap in PG(6,4)), using
    - product of two caps with tangent hyperplane [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 (21, 24, 5462)-net over F₂	[i]		Trace Code for Nets
2	Digital (55, 61, 2830767)-net over F₄	[i]		(u,Â u+v)-Construction for Nets