Information on Result #698713
Linear OA(6461, 4098, F64, 31) (dual of [4098, 4037, 32]-code), using construction X applied to Ce(30) ⊂ Ce(29) based on
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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, 8196, F8, 31) (dual of [8196, 8074, 32]-code) | [i] | Trace Code | |
| 2 | OA(3274, 4098, S32, 31) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6476, 4163, F64, 31) (dual of [4163, 4087, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6477, 4178, F64, 31) (dual of [4178, 4101, 32]-code) | [i] | ||
| 5 | Linear OA(6478, 4180, F64, 31) (dual of [4180, 4102, 32]-code) | [i] | ||
| 6 | Linear OA(6479, 4202, F64, 31) (dual of [4202, 4123, 32]-code) | [i] | ||
| 7 | Linear OA(6480, 4204, F64, 31) (dual of [4204, 4124, 32]-code) | [i] | ||
| 8 | Linear OA(6481, 4226, F64, 31) (dual of [4226, 4145, 32]-code) | [i] | ||
| 9 | Linear OA(6482, 4228, F64, 31) (dual of [4228, 4146, 32]-code) | [i] | ||
| 10 | Linear OA(6483, 4275, F64, 31) (dual of [4275, 4192, 32]-code) | [i] | ||
| 11 | Linear OA(6484, 4277, F64, 31) (dual of [4277, 4193, 32]-code) | [i] | ||
| 12 | Linear OA(6485, 4279, F64, 31) (dual of [4279, 4194, 32]-code) | [i] | ||
| 13 | Linear OA(6486, 4297, F64, 31) (dual of [4297, 4211, 32]-code) | [i] | ||
| 14 | Linear OA(6488, 4553, F64, 31) (dual of [4553, 4465, 32]-code) | [i] | ||
| 15 | Linear OA(6489, 4920, F64, 31) (dual of [4920, 4831, 32]-code) | [i] | ||
| 16 | Linear OA(6469, 4134, F64, 31) (dual of [4134, 4065, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(6470, 4177, F64, 31) (dual of [4177, 4107, 32]-code) | [i] | ||
| 18 | Linear OA(6471, 4272, F64, 31) (dual of [4272, 4201, 32]-code) | [i] | ||
| 19 | Linear OA(6472, 4475, F64, 31) (dual of [4475, 4403, 32]-code) | [i] | ||
| 20 | Linear OA(6473, 4866, F64, 31) (dual of [4866, 4793, 32]-code) | [i] | ||
| 21 | Linear OA(6474, 5486, F64, 31) (dual of [5486, 5412, 32]-code) | [i] | ||
| 22 | Linear OOA(6461, 2049, F64, 2, 31) (dual of [(2049, 2), 4037, 32]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(6461, 1366, F64, 3, 31) (dual of [(1366, 3), 4037, 32]-NRT-code) | [i] | ||