Information on Result #612807
Linear OA(485, 4097, F4, 19) (dual of [4097, 4012, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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 OA(496, 4112, F4, 19) (dual of [4112, 4016, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(493, 4106, F4, 19) (dual of [4106, 4013, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(498, 4110, F4, 21) (dual of [4110, 4012, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(486, 4110, F4, 19) (dual of [4110, 4024, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(4118, 4121, F4, 25) (dual of [4121, 4003, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4119, 4131, F4, 25) (dual of [4131, 4012, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4115, 4118, F4, 24) (dual of [4118, 4003, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4116, 4128, F4, 24) (dual of [4128, 4012, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4113, 4114, F4, 23) (dual of [4114, 4001, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(4114, 4126, F4, 23) (dual of [4126, 4012, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(494, 4121, F4, 19) (dual of [4121, 4027, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(495, 4131, F4, 19) (dual of [4131, 4036, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(4136, 4140, F4, 27) (dual of [4140, 4004, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4137, 4149, F4, 27) (dual of [4149, 4012, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4118, 4130, F4, 25) (dual of [4130, 4012, 26]-code) | [i] | ✔ | |