Information on Result #2266729
Linear OA(3208, 6592, F3, 38) (dual of [6592, 6384, 39]-code), using 1 times code embedding in larger space based on linear OA(3207, 6591, F3, 38) (dual of [6591, 6384, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(33) [i] based on
- linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-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(3208, 3921, F3, 2, 38) (dual of [(3921, 2), 7634, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3208, 3921, F3, 3, 38) (dual of [(3921, 3), 11555, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3208, 3921, F3, 4, 38) (dual of [(3921, 4), 15476, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3208, 3921, F3, 5, 38) (dual of [(3921, 5), 19397, 39]-NRT-code) | [i] | ||
| 5 | Digital (170, 208, 3921)-net over F3 | [i] | ||
| 6 | Linear OOA(3208, 3296, F3, 2, 38) (dual of [(3296, 2), 6384, 39]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3208, 1648, F3, 4, 38) (dual of [(1648, 4), 6384, 39]-NRT-code) | [i] | ||