Information on Result #737904
Linear OA(9125, 4783030, F9, 19) (dual of [4783030, 4782905, 20]-code), using construction X applied to Ce(18) ⊂ Ce(10) based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(9127, 4783032, F9, 19) (dual of [4783032, 4782905, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9125, 4783030, F9, 2, 19) (dual of [(4783030, 2), 9565935, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9125, 4783030, F9, 3, 19) (dual of [(4783030, 3), 14348965, 20]-NRT-code) | [i] | ||
| 4 | Digital (106, 125, 4783030)-net over F9 | [i] | ||
| 5 | Linear OOA(9125, 2391515, F9, 2, 19) (dual of [(2391515, 2), 4782905, 20]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9125, 1594343, F9, 3, 19) (dual of [(1594343, 3), 4782904, 20]-NRT-code) | [i] | ||