Information on Result #737903
Linear OA(9132, 4783030, F9, 20) (dual of [4783030, 4782898, 21]-code), using construction X applied to Ce(19) ⊂ Ce(11) based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(912, 61, F9, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(9134, 4783032, F9, 20) (dual of [4783032, 4782898, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9132, 4783030, F9, 2, 20) (dual of [(4783030, 2), 9565928, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9132, 4783030, F9, 3, 20) (dual of [(4783030, 3), 14348958, 21]-NRT-code) | [i] | ||
| 4 | Digital (112, 132, 4783030)-net over F9 | [i] | ||
| 5 | Linear OOA(9132, 2391515, F9, 2, 20) (dual of [(2391515, 2), 4782898, 21]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9132, 1594343, F9, 3, 20) (dual of [(1594343, 3), 4782897, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(9132, 478303, F9, 20, 20) (dual of [(478303, 20), 9565928, 21]-NRT-code) | [i] | OA Folding and Stacking | |