MinT - Information on Result #994134

Information on Result #994134

Linear OOA(4¹⁰, 5040, F₄, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using appending kth column based on linear OOA(4¹⁰, 5040, F₄, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁰, 5040, F₄, 3) (dual of [5040, 5030, 4]-code or 5040-cap in PG(9,4)), using
- product of projective cap with cap in AG(4,Â 4) [i] based on linear OA(4⁶, 126, F₄, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), using
  - the Glynn cap [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(4⁵⁹, 2801241, F₄, 3, 6) (dual of [(2801241, 3), 8403664, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(4⁷¹, 2801241, F₄, 3, 7) (dual of [(2801241, 3), 8403652, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Digital (7, 10, 5040)-net over F₄	[i]	Net Defined by OOA