Information on Result #945678
Linear OOA(281, 341, F2, 3, 17) (dual of [(341, 3), 942, 18]-NRT-code), using OOA 3-folding based on linear OA(281, 1023, F2, 17) (dual of [1023, 942, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(281, 341, F2, 4, 17) (dual of [(341, 4), 1283, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(281, 341, F2, 5, 17) (dual of [(341, 5), 1624, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(281, 341, F2, 6, 17) (dual of [(341, 6), 1965, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(281, 341, F2, 7, 17) (dual of [(341, 7), 2306, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(281, 341, F2, 8, 17) (dual of [(341, 8), 2647, 18]-NRT-code) | [i] | ||
| 6 | Digital (64, 81, 341)-net over F2 | [i] | ||