Information on Result #1010946
Linear OOA(3225, 2796935, F3, 3, 19) (dual of [(2796935, 3), 8390580, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(344, 734, F3, 3, 9) (dual of [(734, 3), 2158, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(344, 2202, F3, 9) (dual of [2202, 2158, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(343, 2188, F3, 9) (dual of [2188, 2145, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(329, 2188, F3, 7) (dual of [2188, 2159, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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
- discarding factors / shortening the dual code based on linear OA(344, 2203, F3, 9) (dual of [2203, 2159, 10]-code), using
- OOA 3-folding [i] based on linear OA(344, 2202, F3, 9) (dual of [2202, 2158, 10]-code), using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3225, 932311, F3, 21, 19) (dual of [(932311, 21), 19578306, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |