Information on Result #1101442
Linear OOA(3181, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388419, 20]-NRT-code), using OOA 5-folding based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3181, 1677720, F3, 5, 18) (dual of [(1677720, 5), 8388419, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3186, 1677721, F3, 5, 19) (dual of [(1677721, 5), 8388419, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3182, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388418, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3183, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388417, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3184, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388416, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3185, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388415, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(3190, 1677724, F3, 5, 19) (dual of [(1677724, 5), 8388430, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3191, 1677727, F3, 5, 19) (dual of [(1677727, 5), 8388444, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(3192, 1677728, F3, 5, 19) (dual of [(1677728, 5), 8388448, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(3193, 1677730, F3, 5, 19) (dual of [(1677730, 5), 8388457, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(3194, 1677733, F3, 5, 19) (dual of [(1677733, 5), 8388471, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(3195, 1677735, F3, 5, 19) (dual of [(1677735, 5), 8388480, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(3196, 1677736, F3, 5, 19) (dual of [(1677736, 5), 8388484, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(3197, 1677738, F3, 5, 19) (dual of [(1677738, 5), 8388493, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(3198, 1677740, F3, 5, 19) (dual of [(1677740, 5), 8388502, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(3199, 1677741, F3, 5, 19) (dual of [(1677741, 5), 8388506, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(3200, 1677746, F3, 5, 19) (dual of [(1677746, 5), 8388530, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(3201, 1677752, F3, 5, 19) (dual of [(1677752, 5), 8388559, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(3203, 1677760, F3, 5, 19) (dual of [(1677760, 5), 8388597, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(3205, 1677776, F3, 5, 19) (dual of [(1677776, 5), 8388675, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(3207, 1677780, F3, 5, 19) (dual of [(1677780, 5), 8388693, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(3208, 1677804, F3, 5, 19) (dual of [(1677804, 5), 8388812, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(3211, 1677834, F3, 5, 19) (dual of [(1677834, 5), 8388959, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(3214, 1677864, F3, 5, 19) (dual of [(1677864, 5), 8389106, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(3215, 1677884, F3, 5, 19) (dual of [(1677884, 5), 8389205, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(3217, 1678048, F3, 5, 19) (dual of [(1678048, 5), 8390023, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(3221, 1678120, F3, 5, 19) (dual of [(1678120, 5), 8390379, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(3223, 1678266, F3, 5, 19) (dual of [(1678266, 5), 8391107, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(3224, 1678268, F3, 5, 19) (dual of [(1678268, 5), 8391116, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(3225, 1678270, F3, 5, 19) (dual of [(1678270, 5), 8391125, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(3226, 1678271, F3, 5, 19) (dual of [(1678271, 5), 8391129, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(3228, 1678539, F3, 5, 19) (dual of [(1678539, 5), 8392467, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(3229, 1679359, F3, 5, 19) (dual of [(1679359, 5), 8396566, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(3230, 1679362, F3, 5, 19) (dual of [(1679362, 5), 8396580, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(3231, 1679364, F3, 5, 19) (dual of [(1679364, 5), 8396589, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(3232, 1679365, F3, 5, 19) (dual of [(1679365, 5), 8396593, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(3234, 1680179, F3, 5, 19) (dual of [(1680179, 5), 8400661, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(3235, 1682640, F3, 5, 19) (dual of [(1682640, 5), 8412965, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(3236, 1682643, F3, 5, 19) (dual of [(1682643, 5), 8412979, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(3237, 1682645, F3, 5, 19) (dual of [(1682645, 5), 8412988, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(3238, 1682646, F3, 5, 19) (dual of [(1682646, 5), 8412992, 20]-NRT-code) | [i] | ||
| 42 | Linear OOA(3240, 1682648, F3, 5, 19) (dual of [(1682648, 5), 8413000, 20]-NRT-code) | [i] | ||
| 43 | Linear OOA(3241, 1692481, F3, 5, 19) (dual of [(1692481, 5), 8462164, 20]-NRT-code) | [i] | ||
| 44 | Linear OOA(3242, 1692484, F3, 5, 19) (dual of [(1692484, 5), 8462178, 20]-NRT-code) | [i] | ||
| 45 | Linear OOA(3243, 1692487, F3, 5, 19) (dual of [(1692487, 5), 8462192, 20]-NRT-code) | [i] | ||
| 46 | Linear OOA(3244, 1692488, F3, 5, 19) (dual of [(1692488, 5), 8462196, 20]-NRT-code) | [i] | ||
| 47 | Linear OOA(3246, 1692489, F3, 5, 19) (dual of [(1692489, 5), 8462199, 20]-NRT-code) | [i] | ||
| 48 | Linear OOA(3247, 1722006, F3, 5, 19) (dual of [(1722006, 5), 8609783, 20]-NRT-code) | [i] | ||
| 49 | Linear OOA(3248, 1722009, F3, 5, 19) (dual of [(1722009, 5), 8609797, 20]-NRT-code) | [i] | ||
| 50 | Linear OOA(3249, 1722012, F3, 5, 19) (dual of [(1722012, 5), 8609811, 20]-NRT-code) | [i] | ||
| 51 | Linear OOA(3250, 1722013, F3, 5, 19) (dual of [(1722013, 5), 8609815, 20]-NRT-code) | [i] | ||