MinT - Information on Result #994120

Information on Result #994120

Linear OOA(3¹⁵, 60928, F₃, 3, 3) (dual of [(60928, 3), 182769, 4]-NRT-code), using appending kth column based on linear OOA(3¹⁵, 60928, F₃, 2, 3) (dual of [(60928, 2), 121841, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3¹⁵, 60928, F₃, 3) (dual of [60928, 60913, 4]-code or 60928-cap in PG(14,3)), using
- doubling the cap [i] based on linear OA(3¹⁴, 30464, F₃, 3) (dual of [30464, 30450, 4]-code or 30464-cap in PG(13,3)), using
  - large caps in PG(u,Â 3) [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(3¹⁵, 60928, F₃, 4, 3) (dual of [(60928, 4), 243697, 4]-NRT-code)	[i]	Appending Arbitrary Columns
2	Linear OOA(3¹⁵, 60928, F₃, 5, 3) (dual of [(60928, 5), 304625, 4]-NRT-code)	[i]	Appending Arbitrary Columns
3	Digital (12, 15, 60928)-net over F₃	[i]	Net Defined by OOA