Information on Result #688964
Linear OA(9120, 4783005, F9, 19) (dual of [4783005, 4782885, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
- linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(985, 4782970, F9, 13) (dual of [4782970, 4782885, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(97, 35, F9, 5) (dual of [35, 28, 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(9120, 4290934, F9, 2, 19) (dual of [(4290934, 2), 8581748, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9120, 4290934, F9, 3, 19) (dual of [(4290934, 3), 12872682, 20]-NRT-code) | [i] | ||
| 3 | Digital (101, 120, 4290934)-net over F9 | [i] | ||