Information on Result #894028
Linear OOA(950, 8388602, F9, 2, 7) (dual of [(8388602, 2), 16777154, 8]-NRT-code), using trace code based on linear OOA(8125, 4194301, F81, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8125, 8388602, F81, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
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(952, large, F9, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(954, large, F9, 2, 7) | [i] | ||
| 3 | Linear OOA(956, large, F9, 2, 7) | [i] | ||
| 4 | Linear OOA(958, large, F9, 2, 7) | [i] | ||
| 5 | Linear OOA(960, large, F9, 2, 7) | [i] | ||
| 6 | Linear OOA(962, large, F9, 2, 7) | [i] | ||
| 7 | Linear OOA(964, large, F9, 2, 7) | [i] | ||
| 8 | Linear OOA(966, large, F9, 2, 7) | [i] | ||
| 9 | Linear OOA(968, large, F9, 2, 7) | [i] | ||
| 10 | Linear OOA(970, large, F9, 2, 7) | [i] | ||
| 11 | Linear OOA(972, large, F9, 2, 7) | [i] | ||
| 12 | Linear OOA(974, large, F9, 2, 7) | [i] | ||
| 13 | Linear OOA(976, large, F9, 2, 7) | [i] | ||
| 14 | Linear OOA(978, large, F9, 2, 7) | [i] | ||
| 15 | Linear OOA(980, large, F9, 2, 7) | [i] | ||
| 16 | Linear OOA(982, large, F9, 2, 7) | [i] | ||
| 17 | Linear OOA(984, large, F9, 2, 7) | [i] | ||
| 18 | Linear OOA(986, large, F9, 2, 7) | [i] | ||
| 19 | Linear OOA(988, large, F9, 2, 7) | [i] | ||
| 20 | Linear OOA(990, large, F9, 2, 7) | [i] | ||
| 21 | Linear OOA(992, large, F9, 2, 7) | [i] | ||
| 22 | Linear OOA(994, large, F9, 2, 7) | [i] | ||
| 23 | Linear OOA(996, large, F9, 2, 7) | [i] | ||
| 24 | Linear OOA(998, large, F9, 2, 7) | [i] | ||
| 25 | Linear OOA(9100, large, F9, 2, 7) | [i] | ||
| 26 | Linear OOA(9102, large, F9, 2, 7) | [i] | ||
| 27 | Linear OOA(9104, large, F9, 2, 7) | [i] | ||
| 28 | Linear OOA(9106, large, F9, 2, 7) | [i] | ||
| 29 | Linear OOA(9108, large, F9, 2, 7) | [i] | ||
| 30 | Linear OOA(9110, large, F9, 2, 7) | [i] | ||
| 31 | Linear OOA(9112, large, F9, 2, 7) | [i] | ||
| 32 | Linear OOA(9114, large, F9, 2, 7) | [i] | ||
| 33 | Linear OOA(9116, large, F9, 2, 7) | [i] | ||
| 34 | Linear OOA(9118, large, F9, 2, 7) | [i] | ||
| 35 | Linear OOA(9120, large, F9, 2, 7) | [i] | ||
| 36 | Linear OOA(9122, large, F9, 2, 7) | [i] | ||
| 37 | Linear OOA(9124, large, F9, 2, 7) | [i] | ||
| 38 | Linear OOA(9126, large, F9, 2, 7) | [i] | ||
| 39 | Linear OOA(9128, large, F9, 2, 7) | [i] | ||
| 40 | Linear OOA(9130, large, F9, 2, 7) | [i] | ||
| 41 | Linear OOA(9132, large, F9, 2, 7) | [i] | ||
| 42 | Linear OOA(9134, large, F9, 2, 7) | [i] | ||
| 43 | Linear OOA(9136, large, F9, 2, 7) | [i] | ||
| 44 | Linear OOA(9138, large, F9, 2, 7) | [i] | ||
| 45 | Linear OOA(9140, large, F9, 2, 7) | [i] | ||
| 46 | Linear OOA(9142, large, F9, 2, 7) | [i] | ||
| 47 | Linear OOA(9144, large, F9, 2, 7) | [i] | ||
| 48 | Linear OOA(9146, large, F9, 2, 7) | [i] | ||
| 49 | Linear OOA(9148, large, F9, 2, 7) | [i] | ||
| 50 | Linear OOA(9150, large, F9, 2, 7) | [i] | ||
| 51 | Linear OOA(951, 8388602, F9, 2, 7) (dual of [(8388602, 2), 16777153, 8]-NRT-code) | [i] | OOA Duplication | |
| 52 | Linear OOA(950, 4194301, F9, 3, 7) (dual of [(4194301, 3), 12582853, 8]-NRT-code) | [i] | OOA Folding | |