Information on Result #1008935
Linear OOA(8138, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using trace code based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(8141, 5592403, F8, 3, 18) (dual of [(5592403, 3), 16777068, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8144, 5592404, F8, 3, 18) (dual of [(5592404, 3), 16777068, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(8139, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777067, 19]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8140, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777066, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(8147, 5592411, F8, 3, 18) (dual of [(5592411, 3), 16777086, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8148, 5592416, F8, 3, 18) (dual of [(5592416, 3), 16777100, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(8149, 5592419, F8, 3, 18) (dual of [(5592419, 3), 16777108, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(8150, 5592426, F8, 3, 18) (dual of [(5592426, 3), 16777128, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(8151, 5592427, F8, 3, 18) (dual of [(5592427, 3), 16777130, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(8152, 5592430, F8, 3, 18) (dual of [(5592430, 3), 16777138, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(8154, 5592438, F8, 3, 18) (dual of [(5592438, 3), 16777160, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(8155, 5592467, F8, 3, 18) (dual of [(5592467, 3), 16777246, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(8156, 5592532, F8, 3, 18) (dual of [(5592532, 3), 16777440, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(8158, 5592562, F8, 3, 18) (dual of [(5592562, 3), 16777528, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(8160, 5592572, F8, 3, 18) (dual of [(5592572, 3), 16777556, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(8161, 5592574, F8, 3, 18) (dual of [(5592574, 3), 16777561, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(8162, 5592610, F8, 3, 18) (dual of [(5592610, 3), 16777668, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(8164, 5592662, F8, 3, 18) (dual of [(5592662, 3), 16777822, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(8166, 5592692, F8, 3, 18) (dual of [(5592692, 3), 16777910, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(8167, 5593767, F8, 3, 18) (dual of [(5593767, 3), 16781134, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(8168, 5593769, F8, 3, 18) (dual of [(5593769, 3), 16781139, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(8169, 5593770, F8, 3, 18) (dual of [(5593770, 3), 16781141, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(8170, 5593771, F8, 3, 18) (dual of [(5593771, 3), 16781143, 19]-NRT-code) | [i] | ||
| 24 | Linear OOA(8171, 5593776, F8, 3, 18) (dual of [(5593776, 3), 16781157, 19]-NRT-code) | [i] | ||
| 25 | Linear OOA(8172, 5595134, F8, 3, 18) (dual of [(5595134, 3), 16785230, 19]-NRT-code) | [i] | ||
| 26 | OOA(8153, 5592435, S8, 3, 18) | [i] | ||
| 27 | OOA(8154, 5592440, S8, 3, 18) | [i] | ||
| 28 | OOA(8160, 5592660, S8, 3, 18) | [i] | ||
| 29 | OOA(8162, 5592916, S8, 3, 18) | [i] | ||
| 30 | OOA(8166, 5592925, S8, 3, 18) | [i] | ||
| 31 | Linear OOA(8138, 1864133, F8, 21, 18) (dual of [(1864133, 21), 39146655, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |