Information on Result #675983
Linear OA(358, 2202, F3, 12) (dual of [2202, 2144, 13]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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(358, 1178, F3, 2, 12) (dual of [(1178, 2), 2298, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(358, 1178, F3, 3, 12) (dual of [(1178, 3), 3476, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(358, 1178, F3, 4, 12) (dual of [(1178, 4), 4654, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(358, 1178, F3, 5, 12) (dual of [(1178, 5), 5832, 13]-NRT-code) | [i] | ||
| 5 | Digital (46, 58, 1178)-net over F3 | [i] | ||
| 6 | Linear OOA(358, 1101, F3, 2, 12) (dual of [(1101, 2), 2144, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(358, 734, F3, 3, 12) (dual of [(734, 3), 2144, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(358, 550, F3, 4, 12) (dual of [(550, 4), 2142, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(358, 440, F3, 5, 12) (dual of [(440, 5), 2142, 13]-NRT-code) | [i] | ||