Information on Result #1008933
Linear OOA(8130, 5592402, F8, 3, 17) (dual of [(5592402, 3), 16777076, 18]-NRT-code), using trace code based on linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8133, 5592403, F8, 3, 17) (dual of [(5592403, 3), 16777076, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8136, 5592404, F8, 3, 17) (dual of [(5592404, 3), 16777076, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(8131, 5592402, F8, 3, 17) (dual of [(5592402, 3), 16777075, 18]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8132, 5592402, F8, 3, 17) (dual of [(5592402, 3), 16777074, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(8138, 5592411, F8, 3, 17) (dual of [(5592411, 3), 16777095, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8139, 5592416, F8, 3, 17) (dual of [(5592416, 3), 16777109, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(8140, 5592419, F8, 3, 17) (dual of [(5592419, 3), 16777117, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(8141, 5592426, F8, 3, 17) (dual of [(5592426, 3), 16777137, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(8142, 5592427, F8, 3, 17) (dual of [(5592427, 3), 16777139, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8143, 5592430, F8, 3, 17) (dual of [(5592430, 3), 16777147, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(8145, 5592467, F8, 3, 17) (dual of [(5592467, 3), 16777256, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(8146, 5592532, F8, 3, 17) (dual of [(5592532, 3), 16777450, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(8148, 5592562, F8, 3, 17) (dual of [(5592562, 3), 16777538, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(8151, 5592572, F8, 3, 17) (dual of [(5592572, 3), 16777565, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(8152, 5592610, F8, 3, 17) (dual of [(5592610, 3), 16777678, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(8154, 5592662, F8, 3, 17) (dual of [(5592662, 3), 16777832, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(8156, 5592692, F8, 3, 17) (dual of [(5592692, 3), 16777920, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(8158, 5593767, F8, 3, 17) (dual of [(5593767, 3), 16781143, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(8159, 5593768, F8, 3, 17) (dual of [(5593768, 3), 16781145, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(8160, 5595134, F8, 3, 17) (dual of [(5595134, 3), 16785242, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(8162, 5595136, F8, 3, 17) (dual of [(5595136, 3), 16785246, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(8164, 5595143, F8, 3, 17) (dual of [(5595143, 3), 16785265, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(8165, 5603324, F8, 3, 17) (dual of [(5603324, 3), 16809807, 18]-NRT-code) | [i] | ||
| 24 | Linear OOA(8166, 5603326, F8, 3, 17) (dual of [(5603326, 3), 16809812, 18]-NRT-code) | [i] | ||
| 25 | Linear OOA(8167, 5603328, F8, 3, 17) (dual of [(5603328, 3), 16809817, 18]-NRT-code) | [i] | ||
| 26 | Linear OOA(8168, 5603329, F8, 3, 17) (dual of [(5603329, 3), 16809819, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(8169, 5603333, F8, 3, 17) (dual of [(5603333, 3), 16809830, 18]-NRT-code) | [i] | ||
| 28 | Linear OOA(8170, 5603338, F8, 3, 17) (dual of [(5603338, 3), 16809844, 18]-NRT-code) | [i] | ||
| 29 | Linear OOA(8171, 5603352, F8, 3, 17) (dual of [(5603352, 3), 16809885, 18]-NRT-code) | [i] | ||
| 30 | Linear OOA(8172, 5679783, F8, 3, 17) (dual of [(5679783, 3), 17039177, 18]-NRT-code) | [i] | ||
| 31 | Linear OOA(8173, 5679785, F8, 3, 17) (dual of [(5679785, 3), 17039182, 18]-NRT-code) | [i] | ||
| 32 | Linear OOA(8157, 5592735, F8, 3, 17) (dual of [(5592735, 3), 16778048, 18]-NRT-code) | [i] | ||
| 33 | OOA(8144, 5592435, S8, 3, 17) | [i] | ||
| 34 | OOA(8150, 5592660, S8, 3, 17) | [i] | ||
| 35 | OOA(8152, 5592916, S8, 3, 17) | [i] | ||
| 36 | OOA(8154, 5592918, S8, 3, 17) | [i] | ||
| 37 | OOA(8156, 5592925, S8, 3, 17) | [i] | ||
| 38 | OOA(8157, 5592930, S8, 3, 17) | [i] | ||
| 39 | OOA(8169, 5614248, S8, 3, 17) | [i] | ||
| 40 | OOA(8170, 5636094, S8, 3, 17) | [i] | ||