Information on Result #2174833

There is no linear OA(2252, 259, F2, 128) (dual of [259, 7, 129]-code), because 1 times code embedding in larger space would yield linear OA(2253, 260, F2, 128) (dual of [260, 7, 129]-code), but

Mode: Bound (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:

ResultThis
result
only		Method
1No linear OOA(2253, 259, F2, 2, 129) (dual of [(259, 2), 265, 130]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(2254, 259, F2, 2, 130) (dual of [(259, 2), 264, 131]-NRT-code) [i]
3No linear OOA(2255, 259, F2, 2, 131) (dual of [(259, 2), 263, 132]-NRT-code) [i]
4No linear OOA(2256, 259, F2, 2, 132) (dual of [(259, 2), 262, 133]-NRT-code) [i]
5No linear OOA(2257, 259, F2, 2, 133) (dual of [(259, 2), 261, 134]-NRT-code) [i]
6No linear OOA(2258, 259, F2, 2, 134) (dual of [(259, 2), 260, 135]-NRT-code) [i]
7No linear OOA(2259, 259, F2, 2, 135) (dual of [(259, 2), 259, 136]-NRT-code) [i]
8No linear OOA(2260, 259, F2, 2, 136) (dual of [(259, 2), 258, 137]-NRT-code) [i]
9No linear OOA(2252, 259, F2, 2, 128) (dual of [(259, 2), 266, 129]-NRT-code) [i]Depth Reduction
10No linear OOA(2252, 259, F2, 3, 128) (dual of [(259, 3), 525, 129]-NRT-code) [i]
11No linear OOA(2252, 259, F2, 4, 128) (dual of [(259, 4), 784, 129]-NRT-code) [i]
12No linear OOA(2252, 259, F2, 5, 128) (dual of [(259, 5), 1043, 129]-NRT-code) [i]
13No linear OOA(2252, 259, F2, 6, 128) (dual of [(259, 6), 1302, 129]-NRT-code) [i]
14No linear OOA(2252, 259, F2, 7, 128) (dual of [(259, 7), 1561, 129]-NRT-code) [i]
15No linear OOA(2252, 259, F2, 8, 128) (dual of [(259, 8), 1820, 129]-NRT-code) [i]
16No digital (124, 252, 259)-net over F2 [i]Extracting Embedded Orthogonal Array