Information on Result #1010944
Linear OOA(3223, 2796929, F3, 3, 19) (dual of [(2796929, 3), 8390564, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(342, 728, F3, 3, 9) (dual of [(728, 3), 2142, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(342, 2184, F3, 9) (dual of [2184, 2142, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(342, 2186, F3, 9) (dual of [2186, 2144, 10]-code), using
- 1 times truncation [i] based on linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times truncation [i] based on linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(342, 2186, F3, 9) (dual of [2186, 2144, 10]-code), using
- OOA 3-folding [i] based on linear OA(342, 2184, F3, 9) (dual of [2184, 2142, 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(3223, 932309, F3, 21, 19) (dual of [(932309, 21), 19578266, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |