Information on Result #612875
Linear OA(497, 4096, F4, 22) (dual of [4096, 3999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(4108, 4108, F4, 22) (dual of [4108, 4000, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4110, 4113, F4, 22) (dual of [4113, 4003, 23]-code) | [i] | ||
| 3 | Linear OOA(497, 2133, F4, 2, 22) (dual of [(2133, 2), 4169, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(497, 2133, F4, 3, 22) (dual of [(2133, 3), 6302, 23]-NRT-code) | [i] | ||
| 5 | Digital (75, 97, 2133)-net over F4 | [i] | ||
| 6 | Linear OA(4103, 4102, F4, 23) (dual of [4102, 3999, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(497, 4102, F4, 22) (dual of [4102, 4005, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(4110, 4109, F4, 24) (dual of [4109, 3999, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4112, 4111, F4, 25) (dual of [4111, 3999, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(4100, 4111, F4, 22) (dual of [4111, 4011, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(4119, 4113, F4, 26) (dual of [4113, 3994, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4120, 4119, F4, 26) (dual of [4119, 3999, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4101, 4113, F4, 22) (dual of [4113, 4012, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(4102, 4119, F4, 22) (dual of [4119, 4017, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(4128, 4127, F4, 27) (dual of [4127, 3999, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4104, 4127, F4, 22) (dual of [4127, 4023, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(4140, 4139, F4, 29) (dual of [4139, 3999, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(4137, 4136, F4, 28) (dual of [4136, 3999, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(4110, 4139, F4, 22) (dual of [4139, 4029, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(4149, 4148, F4, 30) (dual of [4148, 3999, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(4157, 4156, F4, 31) (dual of [4156, 3999, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4164, 4161, F4, 32) (dual of [4161, 3997, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(4136, 4132, F4, 28) (dual of [4132, 3996, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(4167, 4163, F4, 33) (dual of [4163, 3996, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(4165, 4164, F4, 32) (dual of [4164, 3999, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(4135, 4129, F4, 28) (dual of [4129, 3994, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(4127, 4121, F4, 27) (dual of [4121, 3994, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(4129, 4129, F4, 27) (dual of [4129, 4000, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(4121, 4121, F4, 26) (dual of [4121, 4000, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(4111, 4105, F4, 25) (dual of [4105, 3994, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(4111, 4111, F4, 24) (dual of [4111, 4000, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(499, 4105, F4, 22) (dual of [4105, 4006, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(4103, 4121, F4, 22) (dual of [4121, 4018, 23]-code) | [i] | ✔ | |
| 34 | Linear OA(4106, 4130, F4, 22) (dual of [4130, 4024, 23]-code) | [i] | ✔ | |