Information on Result #698743
Linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(6421, 4096, F64, 11) (dual of [4096, 4075, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(842, 8196, F8, 11) (dual of [8196, 8154, 12]-code) | [i] | Trace Code | |
| 2 | OA(3226, 4098, S32, 11) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6488, 266245, F64, 23) (dual of [266245, 266157, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6426, 4163, F64, 11) (dual of [4163, 4137, 12]-code) | [i] | ||
| 5 | Linear OA(6427, 4178, F64, 11) (dual of [4178, 4151, 12]-code) | [i] | ||
| 6 | Linear OA(6428, 8131, F64, 11) (dual of [8131, 8103, 12]-code) | [i] | ||
| 7 | Linear OA(6424, 4110, F64, 11) (dual of [4110, 4086, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(6425, 4180, F64, 11) (dual of [4180, 4155, 12]-code) | [i] | ||
| 9 | Linear OA(6426, 4529, F64, 11) (dual of [4529, 4503, 12]-code) | [i] | ||
| 10 | Linear OA(6427, 5693, F64, 11) (dual of [5693, 5666, 12]-code) | [i] | ||
| 11 | Linear OOA(6421, 2049, F64, 2, 11) (dual of [(2049, 2), 4077, 12]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(6421, 1366, F64, 3, 11) (dual of [(1366, 3), 4077, 12]-NRT-code) | [i] | ||