Information on Result #1131939
Linear OOA(2161, 10922, F2, 6, 21) (dual of [(10922, 6), 65371, 22]-NRT-code), using OOA 6-folding based on linear OA(2161, 65532, F2, 21) (dual of [65532, 65371, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, 65536, F2, 21) (dual of [65536, 65375, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(2161, 10922, F2, 7, 21) (dual of [(10922, 7), 76293, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(2161, 10922, F2, 8, 21) (dual of [(10922, 8), 87215, 22]-NRT-code) | [i] | ||
3 | Digital (140, 161, 10922)-net over F2 | [i] |