Information on Result #677203
Linear OA(332, 249, F3, 10) (dual of [249, 217, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- 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(326, 243, F3, 8) (dual of [243, 217, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(332, 127, F3, 2, 10) (dual of [(127, 2), 222, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(332, 127, F3, 3, 10) (dual of [(127, 3), 349, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(332, 127, F3, 4, 10) (dual of [(127, 4), 476, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(332, 127, F3, 5, 10) (dual of [(127, 5), 603, 11]-NRT-code) | [i] | ||
| 5 | Digital (22, 32, 127)-net over F3 | [i] | ||
| 6 | Linear OOA(332, 124, F3, 2, 10) (dual of [(124, 2), 216, 11]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(332, 83, F3, 3, 10) (dual of [(83, 3), 217, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(332, 62, F3, 4, 10) (dual of [(62, 4), 216, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(332, 49, F3, 5, 10) (dual of [(49, 5), 213, 11]-NRT-code) | [i] | ||