MinT - Information on Result #994136

Information on Result #994136

Linear OOA(4¹², 34566, F₄, 3, 3) (dual of [(34566, 3), 103686, 4]-NRT-code), using appending kth column 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(4⁶¹, 2830767, F₄, 3, 6) (dual of [(2830767, 3), 8492240, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(4⁷³, 2830767, F₄, 3, 7) (dual of [(2830767, 3), 8492228, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (9, 12, 34566)-net over F₄	[i]	Net Defined by OOA