Information on Result #698719
Linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(8106, 8196, F8, 27) (dual of [8196, 8090, 28]-code) | [i] | Trace Code | |
| 2 | OA(3264, 4098, S32, 27) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6466, 4163, F64, 27) (dual of [4163, 4097, 28]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6467, 4178, F64, 27) (dual of [4178, 4111, 28]-code) | [i] | ||
| 5 | Linear OA(6468, 4180, F64, 27) (dual of [4180, 4112, 28]-code) | [i] | ||
| 6 | Linear OA(6469, 4202, F64, 27) (dual of [4202, 4133, 28]-code) | [i] | ||
| 7 | Linear OA(6470, 4204, F64, 27) (dual of [4204, 4134, 28]-code) | [i] | ||
| 8 | Linear OA(6471, 4226, F64, 27) (dual of [4226, 4155, 28]-code) | [i] | ||
| 9 | Linear OA(6472, 4228, F64, 27) (dual of [4228, 4156, 28]-code) | [i] | ||
| 10 | Linear OA(6473, 4275, F64, 27) (dual of [4275, 4202, 28]-code) | [i] | ||
| 11 | Linear OA(6474, 4293, F64, 27) (dual of [4293, 4219, 28]-code) | [i] | ||
| 12 | Linear OA(6475, 4297, F64, 27) (dual of [4297, 4222, 28]-code) | [i] | ||
| 13 | Linear OA(6476, 4417, F64, 27) (dual of [4417, 4341, 28]-code) | [i] | ||
| 14 | Linear OA(6477, 4687, F64, 27) (dual of [4687, 4610, 28]-code) | [i] | ||
| 15 | Linear OA(6460, 4132, F64, 27) (dual of [4132, 4072, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 16 | Linear OA(6461, 4172, F64, 27) (dual of [4172, 4111, 28]-code) | [i] | ||
| 17 | Linear OA(6462, 4264, F64, 27) (dual of [4264, 4202, 28]-code) | [i] | ||
| 18 | Linear OA(6463, 4464, F64, 27) (dual of [4464, 4401, 28]-code) | [i] | ||
| 19 | Linear OA(6464, 4862, F64, 27) (dual of [4862, 4798, 28]-code) | [i] | ||
| 20 | Linear OA(6465, 5537, F64, 27) (dual of [5537, 5472, 28]-code) | [i] | ||
| 21 | Linear OOA(6453, 2049, F64, 2, 27) (dual of [(2049, 2), 4045, 28]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(6453, 1366, F64, 3, 27) (dual of [(1366, 3), 4045, 28]-NRT-code) | [i] | ||