MinT - Information on Result #1138403

Information on Result #1138403

Linear OOA(256⁶, 258, F₂₅₆, 6, 5) (dual of [(258, 6), 1542, 6]-NRT-code), using appending 1 arbitrary column based on linear OOA(256⁶, 258, F₂₅₆, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using

appending kth column [i] based on linear OOA(256⁶, 258, F₂₅₆, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 6, 258)-net over F₂₅₆, using
  - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
    - Niederreiter sequence [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(256¹⁷, 516, F₂₅₆, 6, 10) (dual of [(516, 6), 3079, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(256²⁵, 13365, F₂₅₆, 6, 10) (dual of [(13365, 6), 80165, 11]-NRT-code)	[i]
3	Linear OOA(256³⁴, 1677978, F₂₅₆, 6, 10) (dual of [(1677978, 6), 10067834, 11]-NRT-code)	[i]
4	Linear OOA(256¹⁸, 516, F₂₅₆, 6, 11) (dual of [(516, 6), 3078, 12]-NRT-code)	[i]
5	Linear OOA(256²⁷, 13365, F₂₅₆, 6, 11) (dual of [(13365, 6), 80163, 12]-NRT-code)	[i]
6	Linear OOA(256³⁷, 1677978, F₂₅₆, 6, 11) (dual of [(1677978, 6), 10067831, 12]-NRT-code)	[i]
7	Linear OOA(256⁶⁸, 2796458, F₂₅₆, 6, 15) (dual of [(2796458, 6), 16778680, 16]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs