Information on Result #1648140
Linear OOA(3200, 2547192, F3, 5, 20) (dual of [(2547192, 5), 12735760, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3200, 2547192, F3, 3, 20) (dual of [(2547192, 3), 7641376, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3200, 2796202, F3, 3, 20) (dual of [(2796202, 3), 8388406, 21]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3199, 2796202, F3, 3, 20) (dual of [(2796202, 3), 8388407, 21]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3199, 2796202, F3, 3, 20) (dual of [(2796202, 3), 8388407, 21]-NRT-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(3200, 1273595, F3, 25, 20) (dual of [(1273595, 25), 31839675, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |