Information on Result #865160
Linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using OOA 2-folding based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(2758, 4194302, F27, 2, 12) (dual of [(4194302, 2), 8388546, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2760, 4194303, F27, 2, 12) (dual of [(4194303, 2), 8388546, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2757, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388545, 13]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2762, 4194329, F27, 2, 12) (dual of [(4194329, 2), 8388596, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2763, 4194339, F27, 2, 12) (dual of [(4194339, 2), 8388615, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2764, 4194349, F27, 2, 12) (dual of [(4194349, 2), 8388634, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(2765, 4194357, F27, 2, 12) (dual of [(4194357, 2), 8388649, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(2766, 4194367, F27, 2, 12) (dual of [(4194367, 2), 8388668, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(2767, 4194667, F27, 2, 12) (dual of [(4194667, 2), 8389267, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(2768, 4194668, F27, 2, 12) (dual of [(4194668, 2), 8389268, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(2769, 4194670, F27, 2, 12) (dual of [(4194670, 2), 8389271, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(2770, 4194695, F27, 2, 12) (dual of [(4194695, 2), 8389320, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(2771, 4195058, F27, 2, 12) (dual of [(4195058, 2), 8390045, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(2772, 4204144, F27, 2, 12) (dual of [(4204144, 2), 8408216, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(2773, 4204146, F27, 2, 12) (dual of [(4204146, 2), 8408219, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(2774, 4204148, F27, 2, 12) (dual of [(4204148, 2), 8408222, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(2775, 4204172, F27, 2, 12) (dual of [(4204172, 2), 8408269, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(2776, 4204874, F27, 2, 12) (dual of [(4204874, 2), 8409672, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(2777, 4460023, F27, 2, 12) (dual of [(4460023, 2), 8919969, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(2778, 4460026, F27, 2, 12) (dual of [(4460026, 2), 8919974, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(2779, 4460028, F27, 2, 12) (dual of [(4460028, 2), 8919977, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(2780, 4460051, F27, 2, 12) (dual of [(4460051, 2), 8920022, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(2781, 4460753, F27, 2, 12) (dual of [(4460753, 2), 8921425, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(2782, 8388602, F27, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(2770, 4195057, F27, 2, 12) (dual of [(4195057, 2), 8390044, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(2771, 4195067, F27, 2, 12) (dual of [(4195067, 2), 8390063, 13]-NRT-code) | [i] | ||
| 27 | OOA(2764, 4194383, S27, 2, 12) | [i] | ||
| 28 | OOA(2766, 4194401, S27, 2, 12) | [i] | ||
| 29 | OOA(2771, 4197582, S27, 2, 12) | [i] | ||