Information on Result #615677
Linear OA(9129, large, F9, 19) (dual of [large, large−129, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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 OA(9129, large, F9, 18) (dual of [large, large−129, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9129, large, F9, 17) (dual of [large, large−129, 18]-code) | [i] | ||
| 3 | Linear OA(9129, large, F9, 16) (dual of [large, large−129, 17]-code) | [i] | ||
| 4 | Linear OA(9129, large, F9, 15) (dual of [large, large−129, 16]-code) | [i] | ||
| 5 | Linear OA(9129, large, F9, 14) (dual of [large, large−129, 15]-code) | [i] | ||
| 6 | Linear OA(9129, large, F9, 13) (dual of [large, large−129, 14]-code) | [i] | ||
| 7 | Linear OA(9129, large, F9, 12) (dual of [large, large−129, 13]-code) | [i] | ||
| 8 | Linear OA(9129, large, F9, 11) (dual of [large, large−129, 12]-code) | [i] | ||
| 9 | Linear OA(9129, large, F9, 10) (dual of [large, large−129, 11]-code) | [i] | ||
| 10 | Linear OA(9129, large, F9, 9) (dual of [large, large−129, 10]-code) | [i] | ||
| 11 | Linear OA(9129, large, F9, 8) (dual of [large, large−129, 9]-code) | [i] | ||
| 12 | Linear OA(9129, large, F9, 7) (dual of [large, large−129, 8]-code) | [i] | ||
| 13 | Linear OA(9129, large, F9, 6) (dual of [large, large−129, 7]-code) | [i] | ||
| 14 | Linear OA(9129, large, F9, 5) (dual of [large, large−129, 6]-code) | [i] | ||
| 15 | Linear OA(9129, large, F9, 4) (dual of [large, large−129, 5]-code) | [i] | ||
| 16 | Linear OA(9129, large, F9, 3) (dual of [large, large−129, 4]-code) | [i] | ||
| 17 | Linear OA(9130, large, F9, 19) (dual of [large, large−130, 20]-code) | [i] | Code Embedding in Larger Space | |
| 18 | Linear OA(9131, large, F9, 19) (dual of [large, large−131, 20]-code) | [i] | ||
| 19 | Linear OA(9132, large, F9, 19) (dual of [large, large−132, 20]-code) | [i] | ||
| 20 | Linear OA(9133, large, F9, 19) (dual of [large, large−133, 20]-code) | [i] | ||
| 21 | Linear OA(9134, large, F9, 19) (dual of [large, large−134, 20]-code) | [i] | ||
| 22 | Linear OA(9135, large, F9, 19) (dual of [large, large−135, 20]-code) | [i] | ||
| 23 | Linear OA(9136, large, F9, 19) (dual of [large, large−136, 20]-code) | [i] | ||
| 24 | Linear OA(9138, large, F9, 19) (dual of [large, large−138, 20]-code) | [i] | ||
| 25 | Linear OA(9139, large, F9, 19) (dual of [large, large−139, 20]-code) | [i] | ||
| 26 | Linear OA(9140, large, F9, 19) (dual of [large, large−140, 20]-code) | [i] | ||
| 27 | Linear OA(9141, large, F9, 19) (dual of [large, large−141, 20]-code) | [i] | ||
| 28 | Linear OA(9142, large, F9, 19) (dual of [large, large−142, 20]-code) | [i] | ||
| 29 | Linear OA(9143, large, F9, 19) (dual of [large, large−143, 20]-code) | [i] | ||
| 30 | Linear OA(9144, large, F9, 19) (dual of [large, large−144, 20]-code) | [i] | ||
| 31 | Linear OA(9146, large, F9, 19) (dual of [large, large−146, 20]-code) | [i] | ||
| 32 | Linear OA(9147, large, F9, 19) (dual of [large, large−147, 20]-code) | [i] | ||
| 33 | Linear OA(9148, large, F9, 19) (dual of [large, large−148, 20]-code) | [i] | ||
| 34 | Linear OA(9149, large, F9, 19) (dual of [large, large−149, 20]-code) | [i] | ||
| 35 | Linear OA(9150, large, F9, 19) (dual of [large, large−150, 20]-code) | [i] | ||
| 36 | Linear OOA(9129, large, F9, 2, 19) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 37 | Linear OOA(9129, large, F9, 3, 19) | [i] | ||
| 38 | Digital (110, 129, large)-net over F9 | [i] | ||
| 39 | Linear OOA(9129, 4194301, F9, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code) | [i] | OOA Folding | |
| 40 | Linear OOA(9129, 2796201, F9, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(9129, 932066, F9, 19, 19) (dual of [(932066, 19), 17709125, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |