Information on Result #873776
Linear OOA(6417, 2049, F64, 2, 9) (dual of [(2049, 2), 4081, 10]-NRT-code), using OOA 2-folding based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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 OOA(6421, 2114, F64, 2, 9) (dual of [(2114, 2), 4207, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6422, 2129, F64, 2, 9) (dual of [(2129, 2), 4236, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(6486, 4196350, F64, 2, 18) (dual of [(4196350, 2), 8392614, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(6490, 4196350, F64, 2, 19) (dual of [(4196350, 2), 8392610, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(6417, 1555, F64, 3, 9) (dual of [(1555, 3), 4648, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (8, 17, 1555)-net over F64 | [i] | ||