Information on Result #801583
Linear OA(988, 4783021, F9, 13) (dual of [4783021, 4782933, 14]-code), using (u, u+v)-construction based on
- linear OA(910, 45, F9, 6) (dual of [45, 35, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (4, 10, 45)-net over F9, using
- linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(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(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
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(988, 2391510, F9, 2, 13) (dual of [(2391510, 2), 4782932, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(988, 1594340, F9, 3, 13) (dual of [(1594340, 3), 4782932, 14]-NRT-code) | [i] | ||