Information on Result #945884
Linear OOA(291, 341, F2, 3, 19) (dual of [(341, 3), 932, 20]-NRT-code), using OOA 3-folding based on linear OA(291, 1023, F2, 19) (dual of [1023, 932, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(291, 341, F2, 4, 19) (dual of [(341, 4), 1273, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(291, 341, F2, 5, 19) (dual of [(341, 5), 1614, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(291, 341, F2, 6, 19) (dual of [(341, 6), 1955, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(291, 341, F2, 7, 19) (dual of [(341, 7), 2296, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(291, 341, F2, 8, 19) (dual of [(341, 8), 2637, 20]-NRT-code) | [i] | ||
| 6 | Digital (72, 91, 341)-net over F2 | [i] | ||