Information on Result #613210
Linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
Mode: Constructive and 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4231, 16383, F4, 44) (dual of [16383, 16152, 45]-code) | [i] | Truncation | |
| 2 | Linear OA(4254, 16407, F4, 45) (dual of [16407, 16153, 46]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4259, 16413, F4, 45) (dual of [16413, 16154, 46]-code) | [i] | ||
| 4 | Linear OA(4260, 16415, F4, 45) (dual of [16415, 16155, 46]-code) | [i] | ||
| 5 | Linear OOA(4232, 9619, F4, 2, 45) (dual of [(9619, 2), 19006, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(4232, 9619, F4, 3, 45) (dual of [(9619, 3), 28625, 46]-NRT-code) | [i] | ||
| 7 | Digital (187, 232, 9619)-net over F4 | [i] | ||
| 8 | Linear OA(4239, 16391, F4, 46) (dual of [16391, 16152, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(4233, 16392, F4, 45) (dual of [16392, 16159, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4247, 16399, F4, 47) (dual of [16399, 16152, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 16399, F4, 44) (dual of [16399, 16166, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(4235, 16401, F4, 45) (dual of [16401, 16166, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4258, 16410, F4, 49) (dual of [16410, 16152, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(4256, 16405, F4, 48) (dual of [16405, 16149, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(4237, 16410, F4, 45) (dual of [16410, 16173, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(4235, 16405, F4, 44) (dual of [16405, 16170, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(4242, 16422, F4, 45) (dual of [16422, 16180, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(4239, 16419, F4, 44) (dual of [16419, 16180, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(4245, 16432, F4, 45) (dual of [16432, 16187, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4242, 16429, F4, 44) (dual of [16429, 16187, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(4248, 16442, F4, 45) (dual of [16442, 16194, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4245, 16439, F4, 44) (dual of [16439, 16194, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(4251, 16449, F4, 45) (dual of [16449, 16198, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(4254, 16455, F4, 45) (dual of [16455, 16201, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(4258, 16466, F4, 45) (dual of [16466, 16208, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(4254, 16462, F4, 44) (dual of [16462, 16208, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(4258, 16469, F4, 44) (dual of [16469, 16211, 45]-code) | [i] | ✔ | |
| 28 | Linear OA(4260, 16474, F4, 44) (dual of [16474, 16214, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(4241, 16420, F4, 45) (dual of [16420, 16179, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(4252, 16452, F4, 45) (dual of [16452, 16200, 46]-code) | [i] | ✔ | |
| 31 | Linear OA(4253, 16454, F4, 45) (dual of [16454, 16201, 46]-code) | [i] | ✔ | |
| 32 | Linear OA(4251, 16452, F4, 44) (dual of [16452, 16201, 45]-code) | [i] | ✔ | |
| 33 | Linear OA(4256, 16458, F4, 45) (dual of [16458, 16202, 46]-code) | [i] | ✔ | |
| 34 | Linear OA(4253, 16456, F4, 44) (dual of [16456, 16203, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(4258, 16473, F4, 44) (dual of [16473, 16215, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(4241, 16421, F4, 45) (dual of [16421, 16180, 46]-code) | [i] | ✔ | |
| 37 | Linear OA(4243, 16426, F4, 45) (dual of [16426, 16183, 46]-code) | [i] | ✔ | |
| 38 | Linear OA(4244, 16430, F4, 45) (dual of [16430, 16186, 46]-code) | [i] | ✔ | |
| 39 | Linear OA(4241, 16428, F4, 44) (dual of [16428, 16187, 45]-code) | [i] | ✔ | |
| 40 | Linear OA(4246, 16440, F4, 45) (dual of [16440, 16194, 46]-code) | [i] | ✔ | |
| 41 | Linear OA(4251, 16450, F4, 45) (dual of [16450, 16199, 46]-code) | [i] | ✔ | |
| 42 | Linear OA(4257, 16403, F4, 49) (dual of [16403, 16146, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 43 | Linear OA(4255, 16401, F4, 48) (dual of [16401, 16146, 49]-code) | [i] | ✔ | |
| 44 | Linear OA(4260, 16413, F4, 49) (dual of [16413, 16153, 50]-code) | [i] | ✔ | |
| 45 | Linear OA(4250, 16404, F4, 47) (dual of [16404, 16154, 48]-code) | [i] | ✔ | |
| 46 | Linear OA(4249, 16402, F4, 47) (dual of [16402, 16153, 48]-code) | [i] | ✔ | |
| 47 | Linear OA(4241, 16394, F4, 46) (dual of [16394, 16153, 47]-code) | [i] | ✔ | |
| 48 | Linear OA(4234, 16394, F4, 45) (dual of [16394, 16160, 46]-code) | [i] | ✔ | |
| 49 | Linear OA(4236, 16403, F4, 45) (dual of [16403, 16167, 46]-code) | [i] | ✔ | |
| 50 | Linear OA(4234, 16401, F4, 44) (dual of [16401, 16167, 45]-code) | [i] | ✔ | |
| 51 | Linear OA(4241, 16417, F4, 45) (dual of [16417, 16176, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(4240, 16415, F4, 45) (dual of [16415, 16175, 46]-code) | [i] | ✔ | |
| 53 | Linear OA(4239, 16413, F4, 45) (dual of [16413, 16174, 46]-code) | [i] | ✔ | |
| 54 | Linear OOA(4232, 8192, F4, 2, 45) (dual of [(8192, 2), 16152, 46]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(4232, 5461, F4, 3, 45) (dual of [(5461, 3), 16151, 46]-NRT-code) | [i] | ||