Information on Result #698729
Linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(878, 8196, F8, 20) (dual of [8196, 8118, 21]-code) | [i] | Trace Code | |
| 2 | OA(3247, 4098, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6449, 4163, F64, 20) (dual of [4163, 4114, 21]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6450, 4178, F64, 20) (dual of [4178, 4128, 21]-code) | [i] | ||
| 5 | Linear OA(6451, 4180, F64, 20) (dual of [4180, 4129, 21]-code) | [i] | ||
| 6 | Linear OA(6452, 4202, F64, 20) (dual of [4202, 4150, 21]-code) | [i] | ||
| 7 | Linear OA(6453, 4204, F64, 20) (dual of [4204, 4151, 21]-code) | [i] | ||
| 8 | Linear OA(6454, 4228, F64, 20) (dual of [4228, 4174, 21]-code) | [i] | ||
| 9 | Linear OA(6455, 4293, F64, 20) (dual of [4293, 4238, 21]-code) | [i] | ||
| 10 | Linear OA(6456, 4297, F64, 20) (dual of [4297, 4241, 21]-code) | [i] | ||
| 11 | Linear OA(6444, 4114, F64, 20) (dual of [4114, 4070, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(6445, 4139, F64, 20) (dual of [4139, 4094, 21]-code) | [i] | ||
| 13 | Linear OA(6446, 4211, F64, 20) (dual of [4211, 4165, 21]-code) | [i] | ||
| 14 | Linear OA(6447, 4402, F64, 20) (dual of [4402, 4355, 21]-code) | [i] | ||
| 15 | Linear OA(6448, 4869, F64, 20) (dual of [4869, 4821, 21]-code) | [i] | ||
| 16 | Linear OA(6449, 5786, F64, 20) (dual of [5786, 5737, 21]-code) | [i] | ||
| 17 | Linear OOA(6439, 2049, F64, 2, 20) (dual of [(2049, 2), 4059, 21]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(6439, 1366, F64, 3, 20) (dual of [(1366, 3), 4059, 21]-NRT-code) | [i] | ||