Information on Result #677206
Linear OA(322, 249, F3, 7) (dual of [249, 227, 8]-code), using construction X applied to Ce(6) ⊂ Ce(4) based on
- linear OA(321, 243, F3, 7) (dual of [243, 222, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(316, 243, F3, 5) (dual of [243, 227, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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(322, 128, F3, 2, 7) (dual of [(128, 2), 234, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(322, 128, F3, 3, 7) (dual of [(128, 3), 362, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(322, 128, F3, 4, 7) (dual of [(128, 4), 490, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(322, 128, F3, 5, 7) (dual of [(128, 5), 618, 8]-NRT-code) | [i] | ||
| 5 | Digital (15, 22, 128)-net over F3 | [i] | ||
| 6 | Linear OOA(322, 124, F3, 2, 7) (dual of [(124, 2), 226, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(322, 83, F3, 3, 7) (dual of [(83, 3), 227, 8]-NRT-code) | [i] | ||