Information on Result #1060832
Linear OOA(3212, 2097151, F3, 4, 21) (dual of [(2097151, 4), 8388392, 22]-NRT-code), using OOA 2-folding based on linear OOA(3212, 4194302, F3, 2, 21) (dual of [(4194302, 2), 8388392, 22]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
Mode: Constructive and 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(3216, 2097152, F3, 4, 21) (dual of [(2097152, 4), 8388392, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3214, 2097151, F3, 4, 21) (dual of [(2097151, 4), 8388390, 22]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3215, 2097151, F3, 4, 21) (dual of [(2097151, 4), 8388389, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3242, 2097235, F3, 4, 21) (dual of [(2097235, 4), 8388698, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3245, 2097265, F3, 4, 21) (dual of [(2097265, 4), 8388815, 22]-NRT-code) | [i] | ||