Information on Result #1059896
Linear OOA(3178, 4194301, F3, 4, 13) (dual of [(4194301, 4), 16777026, 14]-NRT-code), using OOA 2-folding based on linear OOA(3178, 8388602, F3, 2, 13) (dual of [(8388602, 2), 16777026, 14]-NRT-code), using
- trace code [i] based on linear OOA(989, 4194301, F9, 2, 13) (dual of [(4194301, 2), 8388513, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(989, 8388602, F9, 13) (dual of [8388602, 8388513, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- OOA 2-folding [i] based on linear OA(989, 8388602, F9, 13) (dual of [8388602, 8388513, 14]-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(3182, 4194302, F3, 4, 13) (dual of [(4194302, 4), 16777026, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3179, 4194301, F3, 4, 13) (dual of [(4194301, 4), 16777025, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3180, 4194301, F3, 4, 13) (dual of [(4194301, 4), 16777024, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3181, 4194301, F3, 4, 13) (dual of [(4194301, 4), 16777023, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3184, 4194305, F3, 4, 13) (dual of [(4194305, 4), 16777036, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3185, 4194308, F3, 4, 13) (dual of [(4194308, 4), 16777047, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3186, 4194310, F3, 4, 13) (dual of [(4194310, 4), 16777054, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(3187, 4194314, F3, 4, 13) (dual of [(4194314, 4), 16777069, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(3188, 4194320, F3, 4, 13) (dual of [(4194320, 4), 16777092, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(3189, 4194326, F3, 4, 13) (dual of [(4194326, 4), 16777115, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(3190, 4194334, F3, 4, 13) (dual of [(4194334, 4), 16777146, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(3191, 4194343, F3, 4, 13) (dual of [(4194343, 4), 16777181, 14]-NRT-code) | [i] | ||