Information on Result #1095794
Linear OOA(2144, 13107, F2, 5, 18) (dual of [(13107, 5), 65391, 19]-NRT-code), using OOA 5-folding based on linear OA(2144, 65535, F2, 18) (dual of [65535, 65391, 19]-code), using
- 1 times truncation [i] based on linear OA(2145, 65536, F2, 19) (dual of [65536, 65391, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2144, 13107, F2, 6, 18) (dual of [(13107, 6), 78498, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2144, 13107, F2, 7, 18) (dual of [(13107, 7), 91605, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2144, 13107, F2, 8, 18) (dual of [(13107, 8), 104712, 19]-NRT-code) | [i] | ||
| 4 | Digital (126, 144, 13107)-net over F2 | [i] | ||