Information on Result #1008937
Linear OOA(8146, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using trace code based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, 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(8149, 5592403, F8, 3, 19) (dual of [(5592403, 3), 16777060, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8152, 5592404, F8, 3, 19) (dual of [(5592404, 3), 16777060, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8147, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777059, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8148, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777058, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(8155, 5592411, F8, 3, 19) (dual of [(5592411, 3), 16777078, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8156, 5592416, F8, 3, 19) (dual of [(5592416, 3), 16777092, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(8157, 5592419, F8, 3, 19) (dual of [(5592419, 3), 16777100, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(8158, 5592426, F8, 3, 19) (dual of [(5592426, 3), 16777120, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(8159, 5592427, F8, 3, 19) (dual of [(5592427, 3), 16777122, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(8160, 5592430, F8, 3, 19) (dual of [(5592430, 3), 16777130, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(8162, 5592438, F8, 3, 19) (dual of [(5592438, 3), 16777152, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(8163, 5592467, F8, 3, 19) (dual of [(5592467, 3), 16777238, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(8164, 5592532, F8, 3, 19) (dual of [(5592532, 3), 16777432, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(8166, 5592562, F8, 3, 19) (dual of [(5592562, 3), 16777520, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(8168, 5592572, F8, 3, 19) (dual of [(5592572, 3), 16777548, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(8169, 5592574, F8, 3, 19) (dual of [(5592574, 3), 16777553, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(8170, 5592610, F8, 3, 19) (dual of [(5592610, 3), 16777660, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(8172, 5592662, F8, 3, 19) (dual of [(5592662, 3), 16777814, 20]-NRT-code) | [i] | ||
| 19 | OOA(8161, 5592435, S8, 3, 19) | [i] | ||
| 20 | OOA(8162, 5592440, S8, 3, 19) | [i] | ||
| 21 | OOA(8168, 5592660, S8, 3, 19) | [i] | ||
| 22 | OOA(8170, 5592916, S8, 3, 19) | [i] | ||
| 23 | Linear OOA(8146, 1864133, F8, 21, 19) (dual of [(1864133, 21), 39146647, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |