Information on Result #698711
Linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- 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(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(8126, 8196, F8, 32) (dual of [8196, 8070, 33]-code) | [i] | Trace Code | |
| 2 | OA(3276, 4098, S32, 32) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6479, 4163, F64, 32) (dual of [4163, 4084, 33]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6480, 4178, F64, 32) (dual of [4178, 4098, 33]-code) | [i] | ||
| 5 | Linear OA(6481, 4180, F64, 32) (dual of [4180, 4099, 33]-code) | [i] | ||
| 6 | Linear OA(6482, 4202, F64, 32) (dual of [4202, 4120, 33]-code) | [i] | ||
| 7 | Linear OA(6483, 4204, F64, 32) (dual of [4204, 4121, 33]-code) | [i] | ||
| 8 | Linear OA(6484, 4226, F64, 32) (dual of [4226, 4142, 33]-code) | [i] | ||
| 9 | Linear OA(6485, 4228, F64, 32) (dual of [4228, 4143, 33]-code) | [i] | ||
| 10 | Linear OA(6486, 4275, F64, 32) (dual of [4275, 4189, 33]-code) | [i] | ||
| 11 | Linear OA(6487, 4277, F64, 32) (dual of [4277, 4190, 33]-code) | [i] | ||
| 12 | Linear OA(6488, 4279, F64, 32) (dual of [4279, 4191, 33]-code) | [i] | ||
| 13 | Linear OA(6489, 4293, F64, 32) (dual of [4293, 4204, 33]-code) | [i] | ||
| 14 | Linear OA(6490, 4297, F64, 32) (dual of [4297, 4207, 33]-code) | [i] | ||
| 15 | Linear OA(6491, 4415, F64, 32) (dual of [4415, 4324, 33]-code) | [i] | ||
| 16 | Linear OA(6471, 4132, F64, 32) (dual of [4132, 4061, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(6472, 4172, F64, 32) (dual of [4172, 4100, 33]-code) | [i] | ||
| 18 | Linear OA(6473, 4260, F64, 32) (dual of [4260, 4187, 33]-code) | [i] | ||
| 19 | Linear OA(6474, 4441, F64, 32) (dual of [4441, 4367, 33]-code) | [i] | ||
| 20 | Linear OA(6475, 4783, F64, 32) (dual of [4783, 4708, 33]-code) | [i] | ||
| 21 | Linear OA(6476, 5331, F64, 32) (dual of [5331, 5255, 33]-code) | [i] | ||
| 22 | Linear OOA(6463, 2049, F64, 2, 32) (dual of [(2049, 2), 4035, 33]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(6463, 1366, F64, 3, 32) (dual of [(1366, 3), 4035, 33]-NRT-code) | [i] | ||