Information on Result #698716
Linear OA(6457, 4098, F64, 29) (dual of [4098, 4041, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(6457, 4096, F64, 29) (dual of [4096, 4039, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(8114, 8196, F8, 29) (dual of [8196, 8082, 30]-code) | [i] | Trace Code | |
| 2 | OA(3269, 4098, S32, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6471, 4163, F64, 29) (dual of [4163, 4092, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6472, 4178, F64, 29) (dual of [4178, 4106, 30]-code) | [i] | ||
| 5 | Linear OA(6473, 4180, F64, 29) (dual of [4180, 4107, 30]-code) | [i] | ||
| 6 | Linear OA(6474, 4202, F64, 29) (dual of [4202, 4128, 30]-code) | [i] | ||
| 7 | Linear OA(6475, 4204, F64, 29) (dual of [4204, 4129, 30]-code) | [i] | ||
| 8 | Linear OA(6476, 4226, F64, 29) (dual of [4226, 4150, 30]-code) | [i] | ||
| 9 | Linear OA(6477, 4228, F64, 29) (dual of [4228, 4151, 30]-code) | [i] | ||
| 10 | Linear OA(6478, 4275, F64, 29) (dual of [4275, 4197, 30]-code) | [i] | ||
| 11 | Linear OA(6479, 4277, F64, 29) (dual of [4277, 4198, 30]-code) | [i] | ||
| 12 | Linear OA(6480, 4295, F64, 29) (dual of [4295, 4215, 30]-code) | [i] | ||
| 13 | Linear OA(6481, 4298, F64, 29) (dual of [4298, 4217, 30]-code) | [i] | ||
| 14 | Linear OA(6482, 4417, F64, 29) (dual of [4417, 4335, 30]-code) | [i] | ||
| 15 | Linear OA(6483, 4919, F64, 29) (dual of [4919, 4836, 30]-code) | [i] | ||
| 16 | Linear OA(6464, 4122, F64, 29) (dual of [4122, 4058, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(6465, 4149, F64, 29) (dual of [4149, 4084, 30]-code) | [i] | ||
| 18 | Linear OA(6466, 4211, F64, 29) (dual of [4211, 4145, 30]-code) | [i] | ||
| 19 | Linear OA(6467, 4346, F64, 29) (dual of [4346, 4279, 30]-code) | [i] | ||
| 20 | Linear OA(6468, 4629, F64, 29) (dual of [4629, 4561, 30]-code) | [i] | ||
| 21 | Linear OA(6469, 5144, F64, 29) (dual of [5144, 5075, 30]-code) | [i] | ||
| 22 | Linear OOA(6457, 2049, F64, 2, 29) (dual of [(2049, 2), 4041, 30]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(6457, 1366, F64, 3, 29) (dual of [(1366, 3), 4041, 30]-NRT-code) | [i] | ||