Information on Result #1117420
Linear OOA(3173, 2209161, F3, 5, 13) (dual of [(2209161, 5), 11045632, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(352, 531441, F3, 5, 6) (dual of [(531441, 5), 2657153, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(352, 1594323, F3, 6) (dual of [1594323, 1594271, 7]-code), using
- 1 times truncation [i] based on linear OA(353, 1594324, F3, 7) (dual of [1594324, 1594271, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(353, 1594324, F3, 7) (dual of [1594324, 1594271, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(352, 1594323, F3, 6) (dual of [1594323, 1594271, 7]-code), using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-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(3233, 4418322, F3, 5, 13) (dual of [(4418322, 5), 22091377, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |