Information on Result #1052115
Linear OOA(2126, 4095, F2, 4, 18) (dual of [(4095, 4), 16254, 19]-NRT-code), using OOA 4-folding based on linear OA(2126, 16380, F2, 18) (dual of [16380, 16254, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code), using
- 1 times truncation [i] based on linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 1 times truncation [i] based on linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-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(2126, 3770, F2, 5, 18) (dual of [(3770, 5), 18724, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2126, 3770, F2, 6, 18) (dual of [(3770, 6), 22494, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2126, 3770, F2, 7, 18) (dual of [(3770, 7), 26264, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2126, 3770, F2, 8, 18) (dual of [(3770, 8), 30034, 19]-NRT-code) | [i] | ||
| 5 | Digital (108, 126, 3770)-net over F2 | [i] | ||