Information on Result #691853
Linear OA(16128, 65563, F16, 33) (dual of [65563, 65435, 34]-code), using construction X applied to Ce(32) ⊂ Ce(26) based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(167, 27, F16, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), 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(16128, 65563, F16, 2, 33) (dual of [(65563, 2), 130998, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (95, 128, 65563)-net over F16 | [i] | ||
| 3 | Linear OOA(16128, 32781, F16, 2, 33) (dual of [(32781, 2), 65434, 34]-NRT-code) | [i] | OOA Folding | |