Information on Result #814356
Linear OOA(3241, 4194301, F3, 2, 25) (dual of [(4194301, 2), 8388361, 26]-NRT-code), using OOA 2-folding based on linear OA(3241, 8388602, F3, 25) (dual of [8388602, 8388361, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, large, F3, 25) (dual of [large, large−241, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
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(3241, 4194301, F3, 2, 24) (dual of [(4194301, 2), 8388361, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 4194302, F3, 2, 25) (dual of [(4194302, 2), 8388361, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3245, 4194303, F3, 2, 25) (dual of [(4194303, 2), 8388361, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 4194304, F3, 2, 25) (dual of [(4194304, 2), 8388361, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(3249, 4194305, F3, 2, 25) (dual of [(4194305, 2), 8388361, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(3242, 4194301, F3, 2, 25) (dual of [(4194301, 2), 8388360, 26]-NRT-code) | [i] | OOA Duplication | |