Information on Result #679412
Linear OA(497, 4097, F4, 21) (dual of [4097, 4000, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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 OOA(497, 2897, F4, 2, 21) (dual of [(2897, 2), 5697, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(497, 2897, F4, 3, 21) (dual of [(2897, 3), 8594, 22]-NRT-code) | [i] | ||
| 3 | Digital (76, 97, 2897)-net over F4 | [i] | ||
| 4 | Linear OA(4110, 4110, F4, 23) (dual of [4110, 4000, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4112, 4103, F4, 25) (dual of [4103, 3991, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4113, 4113, F4, 25) (dual of [4113, 4000, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(498, 4110, F4, 21) (dual of [4110, 4012, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(4130, 4121, F4, 27) (dual of [4121, 3991, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4131, 4131, F4, 27) (dual of [4131, 4000, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4127, 4118, F4, 26) (dual of [4118, 3991, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(4128, 4128, F4, 26) (dual of [4128, 4000, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4101, 4114, F4, 21) (dual of [4114, 4013, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(4102, 4126, F4, 21) (dual of [4126, 4024, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(4100, 4118, F4, 20) (dual of [4118, 4018, 21]-code) | [i] | ✔ | |