Information on Result #1095700
Linear OOA(2129, 13107, F2, 5, 17) (dual of [(13107, 5), 65406, 18]-NRT-code), using OOA 5-folding based on linear OA(2129, 65535, F2, 17) (dual of [65535, 65406, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2129, 65536, F2, 17) (dual of [65536, 65407, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
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(2129, 12131, F2, 6, 17) (dual of [(12131, 6), 72657, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2129, 12131, F2, 7, 17) (dual of [(12131, 7), 84788, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2129, 12131, F2, 8, 17) (dual of [(12131, 8), 96919, 18]-NRT-code) | [i] | ||
| 4 | Digital (112, 129, 12131)-net over F2 | [i] | ||