Information on Result #865119
Linear OOA(2751, 4194301, F27, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using OOA 2-folding based on linear OA(2751, 8388602, F27, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2753, 4194302, F27, 2, 11) (dual of [(4194302, 2), 8388551, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2755, 4194303, F27, 2, 11) (dual of [(4194303, 2), 8388551, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2752, 4194301, F27, 2, 11) (dual of [(4194301, 2), 8388550, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2756, 4194329, F27, 2, 11) (dual of [(4194329, 2), 8388602, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2757, 4194339, F27, 2, 11) (dual of [(4194339, 2), 8388621, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(2758, 4194652, F27, 2, 11) (dual of [(4194652, 2), 8389246, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(2759, 4194653, F27, 2, 11) (dual of [(4194653, 2), 8389247, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(2760, 4194680, F27, 2, 11) (dual of [(4194680, 2), 8389300, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(2761, 4195004, F27, 2, 11) (dual of [(4195004, 2), 8389947, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(2762, 4195355, F27, 2, 11) (dual of [(4195355, 2), 8390648, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(2763, 4195707, F27, 2, 11) (dual of [(4195707, 2), 8391351, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(2764, 4204144, F27, 2, 11) (dual of [(4204144, 2), 8408224, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(2765, 4204147, F27, 2, 11) (dual of [(4204147, 2), 8408229, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(2766, 4204183, F27, 2, 11) (dual of [(4204183, 2), 8408300, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(2767, 4204901, F27, 2, 11) (dual of [(4204901, 2), 8409735, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(2768, 4460023, F27, 2, 11) (dual of [(4460023, 2), 8919978, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(2769, 4460027, F27, 2, 11) (dual of [(4460027, 2), 8919985, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(2770, 4460051, F27, 2, 11) (dual of [(4460051, 2), 8920032, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(2771, 4460780, F27, 2, 11) (dual of [(4460780, 2), 8921489, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(2772, 8388602, F27, 2, 11) (dual of [(8388602, 2), 16777132, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(2761, 4195057, F27, 2, 11) (dual of [(4195057, 2), 8390053, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(2766, 4204534, F27, 2, 11) (dual of [(4204534, 2), 8409002, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(2767, 4214713, F27, 2, 11) (dual of [(4214713, 2), 8429359, 12]-NRT-code) | [i] | ||
| 24 | OOA(2761, 4197541, S27, 2, 11) | [i] | ||
| 25 | OOA(2762, 4197542, S27, 2, 11) | [i] | ||
| 26 | OOA(2763, 4197623, S27, 2, 11) | [i] | ||
| 27 | OOA(2771, 4463383, S27, 2, 11) | [i] | ||