Information on Result #812757
Linear OOA(338, 368, F3, 2, 10) (dual of [(368, 2), 698, 11]-NRT-code), using OOA 2-folding based on linear OA(338, 736, F3, 10) (dual of [736, 698, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(337, 729, F3, 10) (dual of [729, 692, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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
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(3234, 4194669, F3, 2, 20) (dual of [(4194669, 2), 8389104, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3248, 4194669, F3, 2, 21) (dual of [(4194669, 2), 8389090, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(338, 368, F3, 3, 10) (dual of [(368, 3), 1066, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(338, 368, F3, 4, 10) (dual of [(368, 4), 1434, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(338, 368, F3, 5, 10) (dual of [(368, 5), 1802, 11]-NRT-code) | [i] | ||
| 6 | Digital (28, 38, 368)-net over F3 | [i] | ||