Information on Result #1588678
Linear OOA(228, 64, F2, 4, 8) (dual of [(64, 4), 228, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(228, 64, F2, 2, 8) (dual of [(64, 2), 100, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(228, 128, F2, 8) (dual of [128, 100, 9]-code), using
- 1 times truncation [i] based on linear OA(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, 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(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
Mode: 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(2212, 2097214, F2, 4, 16) (dual of [(2097214, 4), 8388644, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2213, 2097214, F2, 4, 17) (dual of [(2097214, 4), 8388643, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(228, 63, F2, 5, 8) (dual of [(63, 5), 287, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(228, 63, F2, 6, 8) (dual of [(63, 6), 350, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(228, 63, F2, 7, 8) (dual of [(63, 7), 413, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(228, 63, F2, 8, 8) (dual of [(63, 8), 476, 9]-NRT-code) | [i] | ||