Information on Result #698750
Linear OA(6411, 4098, F64, 6) (dual of [4098, 4087, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(649, 4096, F64, 5) (dual of [4096, 4087, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(822, 8196, F8, 6) (dual of [8196, 8174, 7]-code) | [i] | Trace Code | |
| 2 | OA(3214, 4098, S32, 6) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6448, 266245, F64, 13) (dual of [266245, 266197, 14]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6414, 4164, F64, 6) (dual of [4164, 4150, 7]-code) | [i] | ||
| 5 | Linear OA(6415, 8195, F64, 6) (dual of [8195, 8180, 7]-code) | [i] | ||
| 6 | Linear OA(6413, 4159, F64, 6) (dual of [4159, 4146, 7]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(6414, 5404, F64, 6) (dual of [5404, 5390, 7]-code) | [i] | ||
| 8 | Linear OOA(6411, 2049, F64, 2, 6) (dual of [(2049, 2), 4087, 7]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(6411, 1366, F64, 3, 6) (dual of [(1366, 3), 4087, 7]-NRT-code) | [i] | ||
| 10 | Linear OOA(6411, 1366, F64, 6, 6) (dual of [(1366, 6), 8185, 7]-NRT-code) | [i] | OA Folding and Stacking | |