Information on Result #1539826
Linear OOA(4180, 366882, F4, 3, 24) (dual of [(366882, 3), 1100466, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4180, 366882, F4, 2, 24) (dual of [(366882, 2), 733584, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4180, 524288, F4, 2, 24) (dual of [(524288, 2), 1048396, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4180, 1048576, F4, 24) (dual of [1048576, 1048396, 25]-code), using
- 1 times truncation [i] based on linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using
- OOA 2-folding [i] based on linear OA(4180, 1048576, F4, 24) (dual of [1048576, 1048396, 25]-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(4180, 91720, F4, 27, 24) (dual of [(91720, 27), 2476260, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |