Information on Result #1605350
Linear OOA(3154, 2923248, F3, 4, 15) (dual of [(2923248, 4), 11692838, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3154, 2923248, F3, 2, 15) (dual of [(2923248, 2), 5846342, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3154, 4194303, F3, 2, 15) (dual of [(4194303, 2), 8388452, 16]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-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(3154, 1461623, F3, 20, 15) (dual of [(1461623, 20), 29232306, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |