Information on Result #813007
Linear OOA(387, 29538, F3, 2, 13) (dual of [(29538, 2), 58989, 14]-NRT-code), using OOA 2-folding based on linear OA(387, 59076, F3, 13) (dual of [59076, 58989, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(381, 59050, F3, 13) (dual of [59050, 58969, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(361, 59050, F3, 9) (dual of [59050, 58989, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 26, F3, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
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(388, 29538, F3, 2, 13) (dual of [(29538, 2), 58988, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(387, 25723, F3, 3, 13) (dual of [(25723, 3), 77082, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(387, 25723, F3, 4, 13) (dual of [(25723, 4), 102805, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(387, 25723, F3, 5, 13) (dual of [(25723, 5), 128528, 14]-NRT-code) | [i] | ||
| 5 | Digital (74, 87, 25723)-net over F3 | [i] | ||