MinT - Information on Result #994151

Information on Result #994151

Linear OOA(5¹², 120740, F₅, 3, 3) (dual of [(120740, 3), 362208, 4]-NRT-code), using appending kth column based on linear OOA(5¹², 120740, F₅, 2, 3) (dual of [(120740, 2), 241468, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5¹², 120740, F₅, 3) (dual of [120740, 120728, 4]-code or 120740-cap in PG(11,5)), using
- product of projective cap with cap in AG(6,Â 5) [i] based on linear OA(5⁶, 186, F₅, 3) (dual of [186, 180, 4]-code or 186-cap in PG(5,5)), 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(5¹³⁷, 5713154, F₅, 3, 11) (dual of [(5713154, 3), 17139325, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(5¹³⁸, 5713179, F₅, 3, 11) (dual of [(5713179, 3), 17139399, 12]-NRT-code)	[i]
3	Linear OOA(5¹³⁹, 5713204, F₅, 3, 11) (dual of [(5713204, 3), 17139473, 12]-NRT-code)	[i]
4	Linear OOA(5¹³⁹, 5713304, F₅, 3, 11) (dual of [(5713304, 3), 17139773, 12]-NRT-code)	[i]
5	Linear OOA(5¹⁴⁰, 5713329, F₅, 3, 11) (dual of [(5713329, 3), 17139847, 12]-NRT-code)	[i]
6	Linear OOA(5¹⁴¹, 5713454, F₅, 3, 11) (dual of [(5713454, 3), 17140221, 12]-NRT-code)	[i]
7	Linear OOA(5¹⁴⁰, 5713929, F₅, 3, 11) (dual of [(5713929, 3), 17141647, 12]-NRT-code)	[i]
8	Linear OOA(5¹⁴¹, 5713954, F₅, 3, 11) (dual of [(5713954, 3), 17141721, 12]-NRT-code)	[i]
9	Linear OOA(5¹⁴¹, 5717054, F₅, 3, 11) (dual of [(5717054, 3), 17151021, 12]-NRT-code)	[i]
10	Linear OOA(5¹³⁵, 5713148, F₅, 3, 11) (dual of [(5713148, 3), 17139309, 12]-NRT-code)	[i]
11	Linear OOA(5¹³⁶, 5713173, F₅, 3, 11) (dual of [(5713173, 3), 17139383, 12]-NRT-code)	[i]
12	Linear OOA(5¹³⁷, 5713298, F₅, 3, 11) (dual of [(5713298, 3), 17139757, 12]-NRT-code)	[i]
13	Linear OOA(5¹³³, 5713142, F₅, 3, 11) (dual of [(5713142, 3), 17139293, 12]-NRT-code)	[i]
14	Digital (9, 12, 120740)-net over F₅	[i]	Net Defined by OOA