Information on Result #2254132
Linear OA(9119, 4783010, F9, 18) (dual of [4783010, 4782891, 19]-code), using 1 times truncation based on linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] 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(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OOA(9119, 4783010, F9, 2, 18) (dual of [(4783010, 2), 9565901, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9119, 4783010, F9, 3, 18) (dual of [(4783010, 3), 14348911, 19]-NRT-code) | [i] | ||
| 3 | Digital (101, 119, 4783010)-net over F9 | [i] | ||
| 4 | Linear OOA(9119, 2391505, F9, 2, 18) (dual of [(2391505, 2), 4782891, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9119, 1594336, F9, 3, 18) (dual of [(1594336, 3), 4782889, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(9119, 531445, F9, 18, 18) (dual of [(531445, 18), 9565891, 19]-NRT-code) | [i] | OA Folding and Stacking | |