MinT - Information on Result #1107184

Information on Result #1107184

Linear OOA(256⁵, 258, F₂₅₆, 5, 4) (dual of [(258, 5), 1285, 5]-NRT-code), using appending 1 arbitrary column based on linear OOA(256⁵, 258, F₂₅₆, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using

appending kth column [i] based on linear OOA(256⁵, 258, F₂₅₆, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 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(256²⁷, 2097408, F₂₅₆, 5, 8) (dual of [(2097408, 5), 10487013, 9]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(256¹⁵, 516, F₂₅₆, 5, 9) (dual of [(516, 5), 2565, 10]-NRT-code)	[i]
3	Linear OOA(256²², 16642, F₂₅₆, 5, 9) (dual of [(16642, 5), 83188, 10]-NRT-code)	[i]
4	Linear OOA(256³⁰, 2097408, F₂₅₆, 5, 9) (dual of [(2097408, 5), 10487010, 10]-NRT-code)	[i]
5	Linear OOA(256⁶⁴, 3355698, F₂₅₆, 5, 14) (dual of [(3355698, 5), 16778426, 15]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
6	Linear OOA(256⁵⁸, 3355698, F₂₅₆, 5, 13) (dual of [(3355698, 5), 16778432, 14]-NRT-code)	[i]
7	Linear OOA(256⁵⁵, 3355698, F₂₅₆, 5, 12) (dual of [(3355698, 5), 16778435, 13]-NRT-code)	[i]