Information on Result #984402
Linear OOA(958, 1594328, F9, 3, 9) (dual of [(1594328, 3), 4782926, 10]-NRT-code), using OOA 3-folding based on linear OA(958, 4782984, F9, 9) (dual of [4782984, 4782926, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(958, 4782985, F9, 9) (dual of [4782985, 4782927, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(957, 4782970, F9, 9) (dual of [4782970, 4782913, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(943, 4782970, F9, 7) (dual of [4782970, 4782927, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [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(3116, 3188656, F3, 3, 9) (dual of [(3188656, 3), 9565852, 10]-NRT-code) | [i] | Trace Code for OOAs | |