Information on Result #865049
Linear OOA(2741, 4194301, F27, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using OOA 2-folding based on linear OA(2741, 8388602, F27, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2741, large, F27, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(2743, 4194302, F27, 2, 9) (dual of [(4194302, 2), 8388561, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2742, 4194301, F27, 2, 9) (dual of [(4194301, 2), 8388560, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3123, large, F3, 2, 9) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(2745, 4194329, F27, 2, 9) (dual of [(4194329, 2), 8388613, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2746, 4194339, F27, 2, 9) (dual of [(4194339, 2), 8388632, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(2747, 4194652, F27, 2, 9) (dual of [(4194652, 2), 8389257, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(2748, 4194667, F27, 2, 9) (dual of [(4194667, 2), 8389286, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(2749, 4194680, F27, 2, 9) (dual of [(4194680, 2), 8389311, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(2750, 4195058, F27, 2, 9) (dual of [(4195058, 2), 8390066, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(2751, 4204144, F27, 2, 9) (dual of [(4204144, 2), 8408237, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(2752, 4204146, F27, 2, 9) (dual of [(4204146, 2), 8408240, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(2753, 4204183, F27, 2, 9) (dual of [(4204183, 2), 8408313, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(2754, 4460023, F27, 2, 9) (dual of [(4460023, 2), 8919992, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(2755, 4460026, F27, 2, 9) (dual of [(4460026, 2), 8919997, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(2756, 4460051, F27, 2, 9) (dual of [(4460051, 2), 8920046, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(2757, 8388602, F27, 2, 9) (dual of [(8388602, 2), 16777147, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(2749, 4195057, F27, 2, 9) (dual of [(4195057, 2), 8390065, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(2750, 4195067, F27, 2, 9) (dual of [(4195067, 2), 8390084, 10]-NRT-code) | [i] | ||
| 19 | OOA(2749, 4197541, S27, 2, 9) | [i] | ||