Information on Result #1416969
Linear OOA(3223, 6103182, F3, 2, 19) (dual of [(6103182, 2), 12206141, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3223, 6103182, F3, 19) (dual of [6103182, 6102959, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, large, F3, 19) (dual of [large, large−223, 20]-code), using
- 42 times code embedding in larger space [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 42 times code embedding in larger space [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 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(3223, 3051591, F3, 3, 19) (dual of [(3051591, 3), 9154550, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3223, 3051591, F3, 4, 19) (dual of [(3051591, 4), 12206141, 20]-NRT-code) | [i] | ||