Information on Result #527337

There is no linear OA(2253, 260, F2, 128) (dual of [260, 7, 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(2253, 260, F2, 129) (dual of [260, 7, 130]-code) [i]Strength Reduction
2No linear OA(2252, 259, F2, 128) (dual of [259, 7, 129]-code) [i]Code Embedding in Larger Space
3No linear OA(2255, 262, F2, 130) (dual of [262, 7, 131]-code) [i]Truncation
4No linear OA(2256, 263, F2, 131) (dual of [263, 7, 132]-code) [i]
5No linear OOA(2254, 260, F2, 2, 129) (dual of [(260, 2), 266, 130]-NRT-code) [i]m-Reduction for OOAs
6No linear OOA(2255, 260, F2, 2, 130) (dual of [(260, 2), 265, 131]-NRT-code) [i]
7No linear OOA(2256, 260, F2, 2, 131) (dual of [(260, 2), 264, 132]-NRT-code) [i]
8No linear OOA(2257, 260, F2, 2, 132) (dual of [(260, 2), 263, 133]-NRT-code) [i]
9No linear OOA(2258, 260, F2, 2, 133) (dual of [(260, 2), 262, 134]-NRT-code) [i]
10No linear OOA(2259, 260, F2, 2, 134) (dual of [(260, 2), 261, 135]-NRT-code) [i]
11No linear OOA(2260, 260, F2, 2, 135) (dual of [(260, 2), 260, 136]-NRT-code) [i]
12No linear OOA(2253, 260, F2, 2, 128) (dual of [(260, 2), 267, 129]-NRT-code) [i]Depth Reduction
13No linear OOA(2253, 260, F2, 3, 128) (dual of [(260, 3), 527, 129]-NRT-code) [i]
14No linear OOA(2253, 260, F2, 4, 128) (dual of [(260, 4), 787, 129]-NRT-code) [i]
15No linear OOA(2253, 260, F2, 5, 128) (dual of [(260, 5), 1047, 129]-NRT-code) [i]
16No linear OOA(2253, 260, F2, 6, 128) (dual of [(260, 6), 1307, 129]-NRT-code) [i]
17No linear OOA(2253, 260, F2, 7, 128) (dual of [(260, 7), 1567, 129]-NRT-code) [i]
18No linear OOA(2253, 260, F2, 8, 128) (dual of [(260, 8), 1827, 129]-NRT-code) [i]
19No digital (125, 253, 260)-net over F2 [i]Extracting Embedded Orthogonal Array