Information on Result #1117388
Linear OOA(3128, 1677727, F3, 5, 13) (dual of [(1677727, 5), 8388507, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 5, 6) (dual of [(7, 5), 28, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,28P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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(3188, 3355454, F3, 5, 13) (dual of [(3355454, 5), 16777082, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3216, 5033181, F3, 5, 13) (dual of [(5033181, 5), 25165689, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |