Information on Result #527338

There is no linear OA(2254, 262, F2, 128) (dual of [262, 8, 129]-code), because Griesmer bound

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(2255, 262, F2, 2, 129) (dual of [(262, 2), 269, 130]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(2256, 262, F2, 2, 130) (dual of [(262, 2), 268, 131]-NRT-code) [i]
3No linear OOA(2257, 262, F2, 2, 131) (dual of [(262, 2), 267, 132]-NRT-code) [i]
4No linear OOA(2258, 262, F2, 2, 132) (dual of [(262, 2), 266, 133]-NRT-code) [i]
5No linear OOA(2259, 262, F2, 2, 133) (dual of [(262, 2), 265, 134]-NRT-code) [i]
6No linear OOA(2260, 262, F2, 2, 134) (dual of [(262, 2), 264, 135]-NRT-code) [i]
7No linear OOA(2254, 262, F2, 2, 128) (dual of [(262, 2), 270, 129]-NRT-code) [i]Depth Reduction
8No linear OOA(2254, 262, F2, 3, 128) (dual of [(262, 3), 532, 129]-NRT-code) [i]
9No linear OOA(2254, 262, F2, 4, 128) (dual of [(262, 4), 794, 129]-NRT-code) [i]
10No linear OOA(2254, 262, F2, 5, 128) (dual of [(262, 5), 1056, 129]-NRT-code) [i]
11No linear OOA(2254, 262, F2, 6, 128) (dual of [(262, 6), 1318, 129]-NRT-code) [i]
12No linear OOA(2254, 262, F2, 7, 128) (dual of [(262, 7), 1580, 129]-NRT-code) [i]
13No linear OOA(2254, 262, F2, 8, 128) (dual of [(262, 8), 1842, 129]-NRT-code) [i]
14No digital (126, 254, 262)-net over F2 [i]Extracting Embedded Orthogonal Array