Information on Result #698701
Linear OA(6477, 4098, F64, 39) (dual of [4098, 4021, 40]-code), using construction X applied to Ce(38) ⊂ Ce(37) based on
- linear OA(6477, 4096, F64, 39) (dual of [4096, 4019, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(8154, 8196, F8, 39) (dual of [8196, 8042, 40]-code) | [i] | Trace Code | |
| 2 | OA(3293, 4098, S32, 39) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6486, 4142, F64, 39) (dual of [4142, 4056, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(6487, 4182, F64, 39) (dual of [4182, 4095, 40]-code) | [i] | ||
| 5 | Linear OA(6488, 4260, F64, 39) (dual of [4260, 4172, 40]-code) | [i] | ||
| 6 | Linear OA(6489, 4409, F64, 39) (dual of [4409, 4320, 40]-code) | [i] | ||
| 7 | Linear OA(6490, 4676, F64, 39) (dual of [4676, 4586, 40]-code) | [i] | ||
| 8 | Linear OA(6491, 5096, F64, 39) (dual of [5096, 5005, 40]-code) | [i] | ||
| 9 | Linear OOA(6477, 2049, F64, 2, 39) (dual of [(2049, 2), 4021, 40]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(6477, 1366, F64, 3, 39) (dual of [(1366, 3), 4021, 40]-NRT-code) | [i] | ||