Information on Result #527289

There is no linear OA(2235, 242, F2, 120) (dual of [242, 7, 121]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(2236, 242, F2, 2, 121) (dual of [(242, 2), 248, 122]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(2237, 242, F2, 2, 122) (dual of [(242, 2), 247, 123]-NRT-code) [i]
3No linear OOA(2238, 242, F2, 2, 123) (dual of [(242, 2), 246, 124]-NRT-code) [i]
4No linear OOA(2239, 242, F2, 2, 124) (dual of [(242, 2), 245, 125]-NRT-code) [i]
5No linear OOA(2240, 242, F2, 2, 125) (dual of [(242, 2), 244, 126]-NRT-code) [i]
6No linear OOA(2241, 242, F2, 2, 126) (dual of [(242, 2), 243, 127]-NRT-code) [i]
7No linear OOA(2242, 242, F2, 2, 127) (dual of [(242, 2), 242, 128]-NRT-code) [i]
8No linear OOA(2243, 242, F2, 2, 128) (dual of [(242, 2), 241, 129]-NRT-code) [i]
9No linear OOA(2244, 242, F2, 2, 129) (dual of [(242, 2), 240, 130]-NRT-code) [i]
10No linear OOA(2245, 242, F2, 2, 130) (dual of [(242, 2), 239, 131]-NRT-code) [i]
11No linear OOA(2246, 242, F2, 2, 131) (dual of [(242, 2), 238, 132]-NRT-code) [i]
12No linear OOA(2247, 242, F2, 2, 132) (dual of [(242, 2), 237, 133]-NRT-code) [i]
13No linear OOA(2248, 242, F2, 2, 133) (dual of [(242, 2), 236, 134]-NRT-code) [i]
14No linear OOA(2249, 242, F2, 2, 134) (dual of [(242, 2), 235, 135]-NRT-code) [i]
15No linear OOA(2250, 242, F2, 2, 135) (dual of [(242, 2), 234, 136]-NRT-code) [i]
16No linear OOA(2251, 242, F2, 2, 136) (dual of [(242, 2), 233, 137]-NRT-code) [i]
17No linear OOA(2252, 242, F2, 2, 137) (dual of [(242, 2), 232, 138]-NRT-code) [i]
18No linear OOA(2253, 242, F2, 2, 138) (dual of [(242, 2), 231, 139]-NRT-code) [i]
19No linear OOA(2254, 242, F2, 2, 139) (dual of [(242, 2), 230, 140]-NRT-code) [i]
20No linear OOA(2255, 242, F2, 2, 140) (dual of [(242, 2), 229, 141]-NRT-code) [i]
21No linear OOA(2256, 242, F2, 2, 141) (dual of [(242, 2), 228, 142]-NRT-code) [i]
22No linear OOA(2257, 242, F2, 2, 142) (dual of [(242, 2), 227, 143]-NRT-code) [i]
23No linear OOA(2258, 242, F2, 2, 143) (dual of [(242, 2), 226, 144]-NRT-code) [i]
24No linear OOA(2259, 242, F2, 2, 144) (dual of [(242, 2), 225, 145]-NRT-code) [i]
25No linear OOA(2260, 242, F2, 2, 145) (dual of [(242, 2), 224, 146]-NRT-code) [i]
26No linear OOA(2235, 242, F2, 2, 120) (dual of [(242, 2), 249, 121]-NRT-code) [i]Depth Reduction
27No linear OOA(2235, 242, F2, 3, 120) (dual of [(242, 3), 491, 121]-NRT-code) [i]
28No linear OOA(2235, 242, F2, 4, 120) (dual of [(242, 4), 733, 121]-NRT-code) [i]
29No linear OOA(2235, 242, F2, 5, 120) (dual of [(242, 5), 975, 121]-NRT-code) [i]
30No linear OOA(2235, 242, F2, 6, 120) (dual of [(242, 6), 1217, 121]-NRT-code) [i]
31No linear OOA(2235, 242, F2, 7, 120) (dual of [(242, 7), 1459, 121]-NRT-code) [i]
32No linear OOA(2235, 242, F2, 8, 120) (dual of [(242, 8), 1701, 121]-NRT-code) [i]
33No digital (115, 235, 242)-net over F2 [i]Extracting Embedded Orthogonal Array