Information on Result #2798859
Linear OOA(3246, 2097152, F3, 4, 24) (dual of [(2097152, 4), 8388362, 25]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3242, 2097151, F3, 4, 24) (dual of [(2097151, 4), 8388362, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3242, 4194302, F3, 2, 24) (dual of [(4194302, 2), 8388362, 25]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3240, 4194301, F3, 2, 24) (dual of [(4194301, 2), 8388362, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3240, 8388602, F3, 24) (dual of [8388602, 8388362, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-code), using
- OOA 2-folding [i] based on linear OA(3240, 8388602, F3, 24) (dual of [8388602, 8388362, 25]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3240, 4194301, F3, 2, 24) (dual of [(4194301, 2), 8388362, 25]-NRT-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(3247, 2097152, F3, 4, 24) (dual of [(2097152, 4), 8388361, 25]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3248, 2097152, F3, 4, 24) (dual of [(2097152, 4), 8388360, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 2097152, F3, 4, 24) (dual of [(2097152, 4), 8388359, 25]-NRT-code) | [i] | ||