Information on Result #806213
Linear OOA(290, 511, F2, 2, 18) (dual of [(511, 2), 932, 19]-NRT-code), using OOA 2-folding based on linear OA(290, 1022, F2, 18) (dual of [1022, 932, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(290, 1023, F2, 18) (dual of [1023, 933, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(290, 354, F2, 3, 18) (dual of [(354, 3), 972, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(290, 354, F2, 4, 18) (dual of [(354, 4), 1326, 19]-NRT-code) | [i] | ||
3 | Linear OOA(290, 354, F2, 5, 18) (dual of [(354, 5), 1680, 19]-NRT-code) | [i] | ||
4 | Linear OOA(290, 354, F2, 6, 18) (dual of [(354, 6), 2034, 19]-NRT-code) | [i] | ||
5 | Linear OOA(290, 354, F2, 7, 18) (dual of [(354, 7), 2388, 19]-NRT-code) | [i] | ||
6 | Linear OOA(290, 354, F2, 8, 18) (dual of [(354, 8), 2742, 19]-NRT-code) | [i] | ||
7 | Digital (72, 90, 354)-net over F2 | [i] |