Information on Result #615688
Linear OA(9137, large, F9, 20) (dual of [large, large−137, 21]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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(9137, large, F9, 19) (dual of [large, large−137, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9137, large, F9, 18) (dual of [large, large−137, 19]-code) | [i] | ||
| 3 | Linear OA(9137, large, F9, 17) (dual of [large, large−137, 18]-code) | [i] | ||
| 4 | Linear OA(9137, large, F9, 16) (dual of [large, large−137, 17]-code) | [i] | ||
| 5 | Linear OA(9137, large, F9, 15) (dual of [large, large−137, 16]-code) | [i] | ||
| 6 | Linear OA(9137, large, F9, 14) (dual of [large, large−137, 15]-code) | [i] | ||
| 7 | Linear OA(9137, large, F9, 13) (dual of [large, large−137, 14]-code) | [i] | ||
| 8 | Linear OA(9137, large, F9, 12) (dual of [large, large−137, 13]-code) | [i] | ||
| 9 | Linear OA(9137, large, F9, 11) (dual of [large, large−137, 12]-code) | [i] | ||
| 10 | Linear OA(9137, large, F9, 10) (dual of [large, large−137, 11]-code) | [i] | ||
| 11 | Linear OA(9137, large, F9, 9) (dual of [large, large−137, 10]-code) | [i] | ||
| 12 | Linear OA(9137, large, F9, 8) (dual of [large, large−137, 9]-code) | [i] | ||
| 13 | Linear OA(9137, large, F9, 7) (dual of [large, large−137, 8]-code) | [i] | ||
| 14 | Linear OA(9137, large, F9, 6) (dual of [large, large−137, 7]-code) | [i] | ||
| 15 | Linear OA(9137, large, F9, 5) (dual of [large, large−137, 6]-code) | [i] | ||
| 16 | Linear OA(9137, large, F9, 4) (dual of [large, large−137, 5]-code) | [i] | ||
| 17 | Linear OA(9137, large, F9, 3) (dual of [large, large−137, 4]-code) | [i] | ||
| 18 | Linear OA(9138, large, F9, 20) (dual of [large, large−138, 21]-code) | [i] | Code Embedding in Larger Space | |
| 19 | Linear OA(9139, large, F9, 20) (dual of [large, large−139, 21]-code) | [i] | ||
| 20 | Linear OA(9140, large, F9, 20) (dual of [large, large−140, 21]-code) | [i] | ||
| 21 | Linear OA(9141, large, F9, 20) (dual of [large, large−141, 21]-code) | [i] | ||
| 22 | Linear OA(9142, large, F9, 20) (dual of [large, large−142, 21]-code) | [i] | ||
| 23 | Linear OA(9143, large, F9, 20) (dual of [large, large−143, 21]-code) | [i] | ||
| 24 | Linear OA(9144, large, F9, 20) (dual of [large, large−144, 21]-code) | [i] | ||
| 25 | Linear OA(9146, large, F9, 20) (dual of [large, large−146, 21]-code) | [i] | ||
| 26 | Linear OA(9147, large, F9, 20) (dual of [large, large−147, 21]-code) | [i] | ||
| 27 | Linear OA(9148, large, F9, 20) (dual of [large, large−148, 21]-code) | [i] | ||
| 28 | Linear OA(9149, large, F9, 20) (dual of [large, large−149, 21]-code) | [i] | ||
| 29 | Linear OA(9150, large, F9, 20) (dual of [large, large−150, 21]-code) | [i] | ||
| 30 | Linear OOA(9137, large, F9, 2, 20) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Linear OOA(9137, large, F9, 3, 20) | [i] | ||
| 32 | Digital (117, 137, large)-net over F9 | [i] | ||
| 33 | Linear OOA(9137, 4194301, F9, 2, 20) (dual of [(4194301, 2), 8388465, 21]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(9137, 2796201, F9, 3, 20) (dual of [(2796201, 3), 8388466, 21]-NRT-code) | [i] | ||
| 35 | Linear OOA(9137, 838860, F9, 20, 20) (dual of [(838860, 20), 16777063, 21]-NRT-code) | [i] | OA Folding and Stacking | |