Information on Result #865205
Linear OOA(2761, 4194301, F27, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using OOA 2-folding based on linear OA(2761, 8388602, F27, 13) (dual of [8388602, 8388541, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2763, 4194302, F27, 2, 13) (dual of [(4194302, 2), 8388541, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2765, 4194303, F27, 2, 13) (dual of [(4194303, 2), 8388541, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2762, 4194301, F27, 2, 13) (dual of [(4194301, 2), 8388540, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2767, 4194329, F27, 2, 13) (dual of [(4194329, 2), 8388591, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2768, 4194339, F27, 2, 13) (dual of [(4194339, 2), 8388610, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(2769, 4194349, F27, 2, 13) (dual of [(4194349, 2), 8388629, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2770, 4194357, F27, 2, 13) (dual of [(4194357, 2), 8388644, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(2771, 4194367, F27, 2, 13) (dual of [(4194367, 2), 8388663, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2772, 4194667, F27, 2, 13) (dual of [(4194667, 2), 8389262, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(2773, 4194668, F27, 2, 13) (dual of [(4194668, 2), 8389263, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(2774, 4194670, F27, 2, 13) (dual of [(4194670, 2), 8389266, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(2775, 4194695, F27, 2, 13) (dual of [(4194695, 2), 8389315, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(2776, 4195058, F27, 2, 13) (dual of [(4195058, 2), 8390040, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(2777, 4204144, F27, 2, 13) (dual of [(4204144, 2), 8408211, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(2778, 4204146, F27, 2, 13) (dual of [(4204146, 2), 8408214, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(2779, 4204148, F27, 2, 13) (dual of [(4204148, 2), 8408217, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(2780, 4204172, F27, 2, 13) (dual of [(4204172, 2), 8408264, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(2781, 4204874, F27, 2, 13) (dual of [(4204874, 2), 8409667, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(2782, 4460023, F27, 2, 13) (dual of [(4460023, 2), 8919964, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(2783, 4460026, F27, 2, 13) (dual of [(4460026, 2), 8919969, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(2784, 4460028, F27, 2, 13) (dual of [(4460028, 2), 8919972, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(2785, 4460051, F27, 2, 13) (dual of [(4460051, 2), 8920017, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(2786, 4460753, F27, 2, 13) (dual of [(4460753, 2), 8921420, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(2787, 8388602, F27, 2, 13) (dual of [(8388602, 2), 16777117, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(2775, 4195057, F27, 2, 13) (dual of [(4195057, 2), 8390039, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(2776, 4195067, F27, 2, 13) (dual of [(4195067, 2), 8390058, 14]-NRT-code) | [i] | ||
| 27 | OOA(2769, 4194383, S27, 2, 13) | [i] | ||
| 28 | OOA(2771, 4194401, S27, 2, 13) | [i] | ||
| 29 | OOA(2776, 4197582, S27, 2, 13) | [i] | ||