MinT - Information on Result #894855

Information on Result #894855

Linear OOA(3¹⁵, 117, F₃, 2, 5) (dual of [(117, 2), 219, 6]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴, 40, F₃, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
- appending kth column [i] based on linear OA(3⁴, 40, F₃, 2) (dual of [40, 36, 3]-code), using
  - Hamming code H(4,3) [i]
linear OOA(3¹¹, 77, F₃, 2, 5) (dual of [(77, 2), 143, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F₃, using
  - linear code embedding found in 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		This result only	Method
1	Linear OOA(3¹⁰⁶, 4194418, F₃, 2, 10) (dual of [(4194418, 2), 8388730, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3¹²⁹, 4783085, F₃, 2, 10) (dual of [(4783085, 2), 9566041, 11]-NRT-code)	[i]
3	Linear OOA(3¹²¹, 4194418, F₃, 2, 11) (dual of [(4194418, 2), 8388715, 12]-NRT-code)	[i]
4	Linear OOA(3¹⁴³, 4783093, F₃, 2, 11) (dual of [(4783093, 2), 9566043, 12]-NRT-code)	[i]
5	Linear OOA(3¹⁵, 116, F₃, 3, 5) (dual of [(116, 3), 333, 6]-NRT-code)	[i]		OOA Stacking with Additional Row
6	Linear OOA(3¹⁵, 116, F₃, 4, 5) (dual of [(116, 4), 449, 6]-NRT-code)	[i]
7	Linear OOA(3¹⁵, 116, F₃, 5, 5) (dual of [(116, 5), 565, 6]-NRT-code)	[i]