Information on Result #689076
Linear OA(978, 4783011, F9, 12) (dual of [4783011, 4782933, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
- 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(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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(979, 4783012, F9, 12) (dual of [4783012, 4782933, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(980, 4783013, F9, 12) (dual of [4783013, 4782933, 13]-code) | [i] | ||
| 3 | Linear OOA(978, 4783011, F9, 2, 12) (dual of [(4783011, 2), 9565944, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(978, 4783011, F9, 3, 12) (dual of [(4783011, 3), 14348955, 13]-NRT-code) | [i] | ||
| 5 | Digital (66, 78, 4783011)-net over F9 | [i] | ||
| 6 | Linear OOA(978, 2391505, F9, 2, 12) (dual of [(2391505, 2), 4782932, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(978, 1594337, F9, 3, 12) (dual of [(1594337, 3), 4782933, 13]-NRT-code) | [i] | ||