Information on Result #527336

There is no linear OA(2251, 257, F2, 128) (dual of [257, 6, 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 OA(2251, 257, F2, 129) (dual of [257, 6, 130]-code) [i]Strength Reduction
2No linear OA(2250, 256, F2, 128) (dual of [256, 6, 129]-code) [i]Code Embedding in Larger Space
3No linear OA(2249, 255, F2, 128) (dual of [255, 6, 129]-code) [i]
4No linear OA(2253, 259, F2, 130) (dual of [259, 6, 131]-code) [i]Truncation
5No linear OA(2254, 260, F2, 131) (dual of [260, 6, 132]-code) [i]
6No linear OOA(2252, 257, F2, 2, 129) (dual of [(257, 2), 262, 130]-NRT-code) [i]m-Reduction for OOAs
7No linear OOA(2253, 257, F2, 2, 130) (dual of [(257, 2), 261, 131]-NRT-code) [i]
8No linear OOA(2254, 257, F2, 2, 131) (dual of [(257, 2), 260, 132]-NRT-code) [i]
9No linear OOA(2255, 257, F2, 2, 132) (dual of [(257, 2), 259, 133]-NRT-code) [i]
10No linear OOA(2256, 257, F2, 2, 133) (dual of [(257, 2), 258, 134]-NRT-code) [i]
11No linear OOA(2257, 257, F2, 2, 134) (dual of [(257, 2), 257, 135]-NRT-code) [i]
12No linear OOA(2258, 257, F2, 2, 135) (dual of [(257, 2), 256, 136]-NRT-code) [i]
13No linear OOA(2259, 257, F2, 2, 136) (dual of [(257, 2), 255, 137]-NRT-code) [i]
14No linear OOA(2260, 257, F2, 2, 137) (dual of [(257, 2), 254, 138]-NRT-code) [i]
15No linear OOA(2251, 257, F2, 2, 128) (dual of [(257, 2), 263, 129]-NRT-code) [i]Depth Reduction
16No linear OOA(2251, 257, F2, 3, 128) (dual of [(257, 3), 520, 129]-NRT-code) [i]
17No linear OOA(2251, 257, F2, 4, 128) (dual of [(257, 4), 777, 129]-NRT-code) [i]
18No linear OOA(2251, 257, F2, 5, 128) (dual of [(257, 5), 1034, 129]-NRT-code) [i]
19No linear OOA(2251, 257, F2, 6, 128) (dual of [(257, 6), 1291, 129]-NRT-code) [i]
20No linear OOA(2251, 257, F2, 7, 128) (dual of [(257, 7), 1548, 129]-NRT-code) [i]
21No linear OOA(2251, 257, F2, 8, 128) (dual of [(257, 8), 1805, 129]-NRT-code) [i]
22No digital (123, 251, 257)-net over F2 [i]Extracting Embedded Orthogonal Array