Information on Result #945077
Linear OOA(242, 345, F2, 3, 9) (dual of [(345, 3), 993, 10]-NRT-code), using OOA 3-folding based on linear OA(242, 1035, F2, 9) (dual of [1035, 993, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(231, 1024, F2, 7) (dual of [1024, 993, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2249, 2796546, F2, 3, 18) (dual of [(2796546, 3), 8389389, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2250, 2796546, F2, 3, 19) (dual of [(2796546, 3), 8389388, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(242, 345, F2, 4, 9) (dual of [(345, 4), 1338, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(242, 345, F2, 5, 9) (dual of [(345, 5), 1683, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(242, 345, F2, 6, 9) (dual of [(345, 6), 2028, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(242, 345, F2, 7, 9) (dual of [(345, 7), 2373, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(242, 345, F2, 8, 9) (dual of [(345, 8), 2718, 10]-NRT-code) | [i] | ||