Information on Result #527240

There is no linear OA(2219, 225, F2, 112) (dual of [225, 6, 113]-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 OA(2219, 225, F2, 113) (dual of [225, 6, 114]-code) [i]Strength Reduction
2No linear OA(2218, 224, F2, 112) (dual of [224, 6, 113]-code) [i]Code Embedding in Larger Space
3No linear OOA(2220, 225, F2, 2, 113) (dual of [(225, 2), 230, 114]-NRT-code) [i]m-Reduction for OOAs
4No linear OOA(2221, 225, F2, 2, 114) (dual of [(225, 2), 229, 115]-NRT-code) [i]
5No linear OOA(2222, 225, F2, 2, 115) (dual of [(225, 2), 228, 116]-NRT-code) [i]
6No linear OOA(2223, 225, F2, 2, 116) (dual of [(225, 2), 227, 117]-NRT-code) [i]
7No linear OOA(2224, 225, F2, 2, 117) (dual of [(225, 2), 226, 118]-NRT-code) [i]
8No linear OOA(2225, 225, F2, 2, 118) (dual of [(225, 2), 225, 119]-NRT-code) [i]
9No linear OOA(2226, 225, F2, 2, 119) (dual of [(225, 2), 224, 120]-NRT-code) [i]
10No linear OOA(2227, 225, F2, 2, 120) (dual of [(225, 2), 223, 121]-NRT-code) [i]
11No linear OOA(2228, 225, F2, 2, 121) (dual of [(225, 2), 222, 122]-NRT-code) [i]
12No linear OOA(2229, 225, F2, 2, 122) (dual of [(225, 2), 221, 123]-NRT-code) [i]
13No linear OOA(2230, 225, F2, 2, 123) (dual of [(225, 2), 220, 124]-NRT-code) [i]
14No linear OOA(2231, 225, F2, 2, 124) (dual of [(225, 2), 219, 125]-NRT-code) [i]
15No linear OOA(2232, 225, F2, 2, 125) (dual of [(225, 2), 218, 126]-NRT-code) [i]
16No linear OOA(2233, 225, F2, 2, 126) (dual of [(225, 2), 217, 127]-NRT-code) [i]
17No linear OOA(2234, 225, F2, 2, 127) (dual of [(225, 2), 216, 128]-NRT-code) [i]
18No linear OOA(2235, 225, F2, 2, 128) (dual of [(225, 2), 215, 129]-NRT-code) [i]
19No linear OOA(2236, 225, F2, 2, 129) (dual of [(225, 2), 214, 130]-NRT-code) [i]
20No linear OOA(2237, 225, F2, 2, 130) (dual of [(225, 2), 213, 131]-NRT-code) [i]
21No linear OOA(2238, 225, F2, 2, 131) (dual of [(225, 2), 212, 132]-NRT-code) [i]
22No linear OOA(2239, 225, F2, 2, 132) (dual of [(225, 2), 211, 133]-NRT-code) [i]
23No linear OOA(2240, 225, F2, 2, 133) (dual of [(225, 2), 210, 134]-NRT-code) [i]
24No linear OOA(2241, 225, F2, 2, 134) (dual of [(225, 2), 209, 135]-NRT-code) [i]
25No linear OOA(2242, 225, F2, 2, 135) (dual of [(225, 2), 208, 136]-NRT-code) [i]
26No linear OOA(2243, 225, F2, 2, 136) (dual of [(225, 2), 207, 137]-NRT-code) [i]
27No linear OOA(2244, 225, F2, 2, 137) (dual of [(225, 2), 206, 138]-NRT-code) [i]
28No linear OOA(2245, 225, F2, 2, 138) (dual of [(225, 2), 205, 139]-NRT-code) [i]
29No linear OOA(2246, 225, F2, 2, 139) (dual of [(225, 2), 204, 140]-NRT-code) [i]
30No linear OOA(2247, 225, F2, 2, 140) (dual of [(225, 2), 203, 141]-NRT-code) [i]
31No linear OOA(2248, 225, F2, 2, 141) (dual of [(225, 2), 202, 142]-NRT-code) [i]
32No linear OOA(2249, 225, F2, 2, 142) (dual of [(225, 2), 201, 143]-NRT-code) [i]
33No linear OOA(2250, 225, F2, 2, 143) (dual of [(225, 2), 200, 144]-NRT-code) [i]
34No linear OOA(2251, 225, F2, 2, 144) (dual of [(225, 2), 199, 145]-NRT-code) [i]
35No linear OOA(2252, 225, F2, 2, 145) (dual of [(225, 2), 198, 146]-NRT-code) [i]
36No linear OOA(2253, 225, F2, 2, 146) (dual of [(225, 2), 197, 147]-NRT-code) [i]
37No linear OOA(2254, 225, F2, 2, 147) (dual of [(225, 2), 196, 148]-NRT-code) [i]
38No linear OOA(2255, 225, F2, 2, 148) (dual of [(225, 2), 195, 149]-NRT-code) [i]
39No linear OOA(2256, 225, F2, 2, 149) (dual of [(225, 2), 194, 150]-NRT-code) [i]
40No linear OOA(2257, 225, F2, 2, 150) (dual of [(225, 2), 193, 151]-NRT-code) [i]
41No linear OOA(2258, 225, F2, 2, 151) (dual of [(225, 2), 192, 152]-NRT-code) [i]
42No linear OOA(2259, 225, F2, 2, 152) (dual of [(225, 2), 191, 153]-NRT-code) [i]
43No linear OOA(2260, 225, F2, 2, 153) (dual of [(225, 2), 190, 154]-NRT-code) [i]
44No linear OOA(2219, 225, F2, 2, 112) (dual of [(225, 2), 231, 113]-NRT-code) [i]Depth Reduction
45No linear OOA(2219, 225, F2, 3, 112) (dual of [(225, 3), 456, 113]-NRT-code) [i]
46No linear OOA(2219, 225, F2, 4, 112) (dual of [(225, 4), 681, 113]-NRT-code) [i]
47No linear OOA(2219, 225, F2, 5, 112) (dual of [(225, 5), 906, 113]-NRT-code) [i]
48No linear OOA(2219, 225, F2, 6, 112) (dual of [(225, 6), 1131, 113]-NRT-code) [i]
49No linear OOA(2219, 225, F2, 7, 112) (dual of [(225, 7), 1356, 113]-NRT-code) [i]
50No linear OOA(2219, 225, F2, 8, 112) (dual of [(225, 8), 1581, 113]-NRT-code) [i]
51No digital (107, 219, 225)-net over F2 [i]Extracting Embedded Orthogonal Array