Information on Result #679582
Linear OA(4157, 4096, F4, 35) (dual of [4096, 3939, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(4157, 3053, F4, 2, 35) (dual of [(3053, 2), 5949, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4157, 3053, F4, 3, 35) (dual of [(3053, 3), 9002, 36]-NRT-code) | [i] | ||
| 3 | Digital (122, 157, 3053)-net over F4 | [i] | ||
| 4 | Linear OA(4164, 4103, F4, 37) (dual of [4103, 3939, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4157, 4102, F4, 35) (dual of [4102, 3945, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(4172, 4111, F4, 38) (dual of [4111, 3939, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(4179, 4113, F4, 39) (dual of [4113, 3934, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4180, 4119, F4, 39) (dual of [4119, 3939, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(4162, 4119, F4, 35) (dual of [4119, 3957, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(4164, 4127, F4, 35) (dual of [4127, 3963, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4200, 4139, F4, 42) (dual of [4139, 3939, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(4167, 4136, F4, 35) (dual of [4136, 3969, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(4218, 4157, F4, 45) (dual of [4157, 3939, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(4175, 4156, F4, 35) (dual of [4156, 3981, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(4231, 4170, F4, 46) (dual of [4170, 3939, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(4240, 4179, F4, 47) (dual of [4179, 3939, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(4166, 4132, F4, 35) (dual of [4132, 3966, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4227, 4163, F4, 46) (dual of [4163, 3936, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(4228, 4166, F4, 46) (dual of [4166, 3938, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(4229, 4168, F4, 46) (dual of [4168, 3939, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(4239, 4178, F4, 47) (dual of [4178, 3939, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(4196, 4130, F4, 42) (dual of [4130, 3934, 43]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(4190, 4126, F4, 41) (dual of [4126, 3936, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(4189, 4124, F4, 41) (dual of [4124, 3935, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(4188, 4122, F4, 41) (dual of [4122, 3934, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(4179, 4114, F4, 39) (dual of [4114, 3935, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(4178, 4112, F4, 39) (dual of [4112, 3934, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(4181, 4121, F4, 39) (dual of [4121, 3940, 40]-code) | [i] | ✔ | |
| 29 | Linear OA(4171, 4105, F4, 38) (dual of [4105, 3934, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(4165, 4105, F4, 37) (dual of [4105, 3940, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(4161, 4114, F4, 35) (dual of [4114, 3953, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(4163, 4121, F4, 35) (dual of [4121, 3958, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(4165, 4129, F4, 35) (dual of [4129, 3964, 36]-code) | [i] | ✔ | |