Information on Result #618927
Linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(8122, 8194, F8, 31) (dual of [8194, 8072, 32]-code) | [i] | Trace Code | |
| 2 | Linear OA(6476, 4162, F64, 31) (dual of [4162, 4086, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6477, 4177, F64, 31) (dual of [4177, 4100, 32]-code) | [i] | ||
| 4 | Linear OA(6478, 4179, F64, 31) (dual of [4179, 4101, 32]-code) | [i] | ||
| 5 | Linear OA(6479, 4201, F64, 31) (dual of [4201, 4122, 32]-code) | [i] | ||
| 6 | Linear OA(6480, 4203, F64, 31) (dual of [4203, 4123, 32]-code) | [i] | ||
| 7 | Linear OA(6481, 4225, F64, 31) (dual of [4225, 4144, 32]-code) | [i] | ||
| 8 | Linear OA(6482, 4227, F64, 31) (dual of [4227, 4145, 32]-code) | [i] | ||
| 9 | Linear OA(6483, 4274, F64, 31) (dual of [4274, 4191, 32]-code) | [i] | ||
| 10 | Linear OA(6484, 4276, F64, 31) (dual of [4276, 4192, 32]-code) | [i] | ||
| 11 | Linear OA(6485, 4278, F64, 31) (dual of [4278, 4193, 32]-code) | [i] | ||
| 12 | Linear OA(6486, 4292, F64, 31) (dual of [4292, 4206, 32]-code) | [i] | ||
| 13 | Linear OA(6488, 4552, F64, 31) (dual of [4552, 4464, 32]-code) | [i] | ||
| 14 | Linear OA(6489, 4917, F64, 31) (dual of [4917, 4828, 32]-code) | [i] | ||
| 15 | Linear OA(6486, 4124, F64, 31) (dual of [4124, 4038, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(6488, 4127, F64, 31) (dual of [4127, 4039, 32]-code) | [i] | ||
| 17 | Linear OA(6489, 4130, F64, 31) (dual of [4130, 4041, 32]-code) | [i] | ||
| 18 | Linear OA(6483, 4121, F64, 31) (dual of [4121, 4038, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(6484, 4123, F64, 31) (dual of [4123, 4039, 32]-code) | [i] | ||
| 20 | Linear OA(6485, 4125, F64, 31) (dual of [4125, 4040, 32]-code) | [i] | ||
| 21 | Linear OA(6486, 4227, F64, 31) (dual of [4227, 4141, 32]-code) | [i] | ||
| 22 | Linear OA(6487, 4242, F64, 31) (dual of [4242, 4155, 32]-code) | [i] | ||
| 23 | Linear OA(6488, 4257, F64, 31) (dual of [4257, 4169, 32]-code) | [i] | ||
| 24 | Linear OA(6489, 4259, F64, 31) (dual of [4259, 4170, 32]-code) | [i] | ||
| 25 | Linear OA(6489, 4266, F64, 31) (dual of [4266, 4177, 32]-code) | [i] | ||
| 26 | Linear OA(6475, 4112, F64, 31) (dual of [4112, 4037, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 27 | Linear OA(6466, 4102, F64, 33) (dual of [4102, 4036, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(6462, 4102, F64, 31) (dual of [4102, 4040, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(6472, 4108, F64, 35) (dual of [4108, 4036, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(6464, 4108, F64, 31) (dual of [4108, 4044, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(6478, 4114, F64, 37) (dual of [4114, 4036, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(6466, 4114, F64, 31) (dual of [4114, 4048, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(6484, 4120, F64, 39) (dual of [4120, 4036, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(6468, 4120, F64, 31) (dual of [4120, 4052, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(6490, 4126, F64, 41) (dual of [4126, 4036, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(6470, 4126, F64, 31) (dual of [4126, 4056, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(6472, 4132, F64, 31) (dual of [4132, 4060, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(6474, 4138, F64, 31) (dual of [4138, 4064, 32]-code) | [i] | ✔ | |