Information on Result #945040
Linear OOA(276, 174762, F2, 3, 8) (dual of [(174762, 3), 524210, 9]-NRT-code), using OOA 3-folding based on linear OA(276, 524286, F2, 8) (dual of [524286, 524210, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code), using
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), 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(2260, 2970963, F2, 3, 16) (dual of [(2970963, 3), 8912629, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(276, 174762, F2, 4, 8) (dual of [(174762, 4), 698972, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(276, 174762, F2, 5, 8) (dual of [(174762, 5), 873734, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(276, 174762, F2, 6, 8) (dual of [(174762, 6), 1048496, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(276, 174762, F2, 7, 8) (dual of [(174762, 7), 1223258, 9]-NRT-code) | [i] | ||