Information on Result #677269
Linear OA(342, 254, F3, 12) (dual of [254, 212, 13]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(341, 243, F3, 13) (dual of [243, 202, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(331, 243, F3, 10) (dual of [243, 212, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(342, 197, F3, 2, 12) (dual of [(197, 2), 352, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(342, 197, F3, 3, 12) (dual of [(197, 3), 549, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(342, 197, F3, 4, 12) (dual of [(197, 4), 746, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(342, 197, F3, 5, 12) (dual of [(197, 5), 943, 13]-NRT-code) | [i] | ||
| 5 | Digital (30, 42, 197)-net over F3 | [i] | ||
| 6 | Linear OOA(342, 127, F3, 2, 12) (dual of [(127, 2), 212, 13]-NRT-code) | [i] | OOA Folding | |