MinT - Information on Result #994140

Information on Result #994140

Linear OOA(4¹⁶, 1850766, F₄, 3, 3) (dual of [(1850766, 3), 5552282, 4]-NRT-code), using appending kth column based on linear OOA(4¹⁶, 1850766, F₄, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁶, 1850766, F₄, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using
- product of projective cap with cap in AG(5,Â 4) [i] based on linear OA(4¹¹, 15423, F₄, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), using
  - caps completed using a computer search [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, 2796210, F₄, 3, 6) (dual of [(2796210, 3), 8388569, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(4⁷², 2796210, F₄, 3, 7) (dual of [(2796210, 3), 8388558, 8]-NRT-code)	[i]
3	Linear OOA(4⁷³, 2796218, F₄, 3, 7) (dual of [(2796218, 3), 8388581, 8]-NRT-code)	[i]
4	Digital (13, 16, 1850766)-net over F₄	[i]	Net Defined by OOA