Information on Result #691782
Linear OA(1629, 65540, F16, 8) (dual of [65540, 65511, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(1629, 65536, F16, 8) (dual of [65536, 65507, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1625, 65536, F16, 7) (dual of [65536, 65511, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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 | OA(839, 65540, S8, 8) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1629, 65540, F16, 2, 8) (dual of [(65540, 2), 131051, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (21, 29, 65540)-net over F16 | [i] | ||
| 4 | Linear OOA(1629, 32770, F16, 2, 8) (dual of [(32770, 2), 65511, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(1629, 16385, F16, 8, 8) (dual of [(16385, 8), 131051, 9]-NRT-code) | [i] | OA Folding and Stacking | |