Information on Result #1095495
Linear OOA(2106, 6553, F2, 5, 15) (dual of [(6553, 5), 32659, 16]-NRT-code), using OOA 5-folding based on linear OA(2106, 32765, F2, 15) (dual of [32765, 32659, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2106, 6553, F2, 6, 15) (dual of [(6553, 6), 39212, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2106, 6553, F2, 7, 15) (dual of [(6553, 7), 45765, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2106, 6553, F2, 8, 15) (dual of [(6553, 8), 52318, 16]-NRT-code) | [i] | ||
| 4 | Digital (91, 106, 6553)-net over F2 | [i] | ||