Information on Result #731160
Linear OA(888, 8202, F8, 22) (dual of [8202, 8114, 23]-code), using trace code based on linear OA(6444, 4101, F64, 22) (dual of [4101, 4057, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-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(889, 8203, F8, 22) (dual of [8203, 8114, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(888, 8202, F8, 2, 22) (dual of [(8202, 2), 16316, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(888, 8202, F8, 3, 22) (dual of [(8202, 3), 24518, 23]-NRT-code) | [i] | ||
| 4 | Digital (66, 88, 8202)-net over F8 | [i] | ||
| 5 | Linear OOA(888, 4101, F8, 2, 22) (dual of [(4101, 2), 8114, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(888, 2734, F8, 3, 22) (dual of [(2734, 3), 8114, 23]-NRT-code) | [i] | ||