Information on Result #253783

There is no OOA(3215, 55, S3, 4, 193), because the (dual) Plotkin bound for OOAs shows that M ≥ 537 389129 823333 586853 296080 335211 807839 299972 771156 980844 198119 163714 294704 099499 578360 467201 555655 223887 / 97 > 3215

Mode: Bound.

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 OOA(3216, 56, S3, 4, 194) [i]Truncation for OOAs
2No OOA(3217, 56, S3, 4, 195) [i]
3No OOA(3218, 56, S3, 4, 196) [i]
4No OOA(3219, 56, S3, 4, 197) [i]
5No OOA(3216, 55, S3, 5, 194) [i]m-Reduction for OOAs
6No OOA(3217, 55, S3, 5, 195) [i]
7No OOA(3218, 55, S3, 5, 196) [i]
8No OOA(3219, 55, S3, 5, 197) [i]
9No OOA(3220, 55, S3, 5, 198) [i]
10No OOA(3221, 55, S3, 5, 199) [i]
11No OOA(3222, 55, S3, 5, 200) [i]
12No OOA(3223, 55, S3, 5, 201) [i]
13No OOA(3224, 55, S3, 5, 202) [i]
14No OOA(3225, 55, S3, 5, 203) [i]
15No OOA(3226, 55, S3, 5, 204) [i]
16No OOA(3227, 55, S3, 5, 205) [i]
17No OOA(3228, 55, S3, 5, 206) [i]
18No OOA(3229, 55, S3, 5, 207) [i]
19No OOA(3230, 55, S3, 5, 208) [i]
20No OOA(3231, 55, S3, 5, 209) [i]
21No OOA(3232, 55, S3, 5, 210) [i]
22No OOA(3233, 55, S3, 5, 211) [i]
23No OOA(3234, 55, S3, 5, 212) [i]
24No OOA(3235, 55, S3, 5, 213) [i]
25No OOA(3236, 55, S3, 5, 214) [i]
26No OOA(3237, 55, S3, 5, 215) [i]
27No OOA(3238, 55, S3, 5, 216) [i]
28No OOA(3239, 55, S3, 5, 217) [i]
29No OOA(3240, 55, S3, 5, 218) [i]
30No OOA(3241, 55, S3, 5, 219) [i]
31No OOA(3242, 55, S3, 5, 220) [i]
32No OOA(3243, 55, S3, 5, 221) [i]
33No OOA(3244, 55, S3, 5, 222) [i]
34No OOA(3245, 55, S3, 5, 223) [i]
35No OOA(3246, 55, S3, 5, 224) [i]
36No OOA(3247, 55, S3, 5, 225) [i]
37No OOA(3248, 55, S3, 5, 226) [i]
38No OOA(3249, 55, S3, 5, 227) [i]
39No OOA(3250, 55, S3, 5, 228) [i]
40No OOA(3215, 55, S3, 5, 193) [i]Depth Reduction
41No (22, 215, 55)-net in base 3 [i]Extracting Embedded OOA