Information on Result #679574
Linear OA(4193, 4096, F4, 43) (dual of [4096, 3903, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(4193, 3517, F4, 2, 43) (dual of [(3517, 2), 6841, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4193, 3517, F4, 3, 43) (dual of [(3517, 3), 10358, 44]-NRT-code) | [i] | ||
| 3 | Digital (150, 193, 3517)-net over F4 | [i] | ||
| 4 | Linear OA(4200, 4103, F4, 45) (dual of [4103, 3903, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4193, 4102, F4, 43) (dual of [4102, 3909, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(4208, 4111, F4, 46) (dual of [4111, 3903, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(4215, 4113, F4, 47) (dual of [4113, 3898, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4216, 4119, F4, 47) (dual of [4119, 3903, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(4198, 4119, F4, 43) (dual of [4119, 3921, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(4200, 4127, F4, 43) (dual of [4127, 3927, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4236, 4139, F4, 50) (dual of [4139, 3903, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(4203, 4136, F4, 43) (dual of [4136, 3933, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(4254, 4157, F4, 53) (dual of [4157, 3903, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(4211, 4156, F4, 43) (dual of [4156, 3945, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(4222, 4179, F4, 43) (dual of [4179, 3957, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(4202, 4132, F4, 43) (dual of [4132, 3930, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4221, 4178, F4, 43) (dual of [4178, 3957, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(4232, 4130, F4, 50) (dual of [4130, 3898, 51]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(4226, 4126, F4, 49) (dual of [4126, 3900, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(4225, 4124, F4, 49) (dual of [4124, 3899, 50]-code) | [i] | ✔ | |
| 21 | Linear OA(4224, 4122, F4, 49) (dual of [4122, 3898, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(4215, 4114, F4, 47) (dual of [4114, 3899, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(4214, 4112, F4, 47) (dual of [4112, 3898, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(4217, 4121, F4, 47) (dual of [4121, 3904, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(4207, 4105, F4, 46) (dual of [4105, 3898, 47]-code) | [i] | ✔ | |
| 26 | Linear OA(4201, 4105, F4, 45) (dual of [4105, 3904, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(4197, 4114, F4, 43) (dual of [4114, 3917, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(4199, 4121, F4, 43) (dual of [4121, 3922, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(4201, 4129, F4, 43) (dual of [4129, 3928, 44]-code) | [i] | ✔ | |