Information on Result #1323476
Linear OA(3232, 6640, F3, 39) (dual of [6640, 6408, 40]-code), using construction X applied to Ce(39) ⊂ Ce(28) based on
- linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(323, 79, F3, 9) (dual of [79, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
Mode: 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(3232, 6640, F3, 2, 39) (dual of [(6640, 2), 13048, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3232, 6640, F3, 3, 39) (dual of [(6640, 3), 19688, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 6640, F3, 4, 39) (dual of [(6640, 4), 26328, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 6640, F3, 5, 39) (dual of [(6640, 5), 32968, 40]-NRT-code) | [i] | ||
| 5 | Digital (193, 232, 6640)-net over F3 | [i] | ||
| 6 | Linear OOA(3232, 3320, F3, 2, 39) (dual of [(3320, 2), 6408, 40]-NRT-code) | [i] | OOA Folding | |