Information on Result #1060241
Linear OOA(3226, 4194301, F3, 4, 16) (dual of [(4194301, 4), 16776978, 17]-NRT-code), using OOA 2-folding based on linear OOA(3226, 8388602, F3, 2, 16) (dual of [(8388602, 2), 16776978, 17]-NRT-code), using
- trace code [i] based on linear OOA(9113, 4194301, F9, 2, 16) (dual of [(4194301, 2), 8388489, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9113, 8388602, F9, 16) (dual of [8388602, 8388489, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, large, F9, 16) (dual of [large, large−113, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(9113, large, F9, 16) (dual of [large, large−113, 17]-code), using
- OOA 2-folding [i] based on linear OA(9113, 8388602, F9, 16) (dual of [8388602, 8388489, 17]-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(3230, 4194302, F3, 4, 16) (dual of [(4194302, 4), 16776978, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3227, 4194301, F3, 4, 16) (dual of [(4194301, 4), 16776977, 17]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3228, 4194301, F3, 4, 16) (dual of [(4194301, 4), 16776976, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3229, 4194301, F3, 4, 16) (dual of [(4194301, 4), 16776975, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(3234, 4194305, F3, 4, 16) (dual of [(4194305, 4), 16776986, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3235, 4194308, F3, 4, 16) (dual of [(4194308, 4), 16776997, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(3236, 4194309, F3, 4, 16) (dual of [(4194309, 4), 16777000, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(3237, 4194312, F3, 4, 16) (dual of [(4194312, 4), 16777011, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(3238, 4194315, F3, 4, 16) (dual of [(4194315, 4), 16777022, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(3239, 4194318, F3, 4, 16) (dual of [(4194318, 4), 16777033, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(3240, 4194323, F3, 4, 16) (dual of [(4194323, 4), 16777052, 17]-NRT-code) | [i] | ||