Information on Result #1426643
Linear OOA(4182, 6151644, F4, 2, 19) (dual of [(6151644, 2), 12303106, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4182, 6151644, F4, 19) (dual of [6151644, 6151462, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4182, large, F4, 19) (dual of [large, large−182, 20]-code), using
- 13 times code embedding in larger space [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 13 times code embedding in larger space [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4182, 3075822, F4, 3, 19) (dual of [(3075822, 3), 9227284, 20]-NRT-code) | [i] | OOA Folding | |