Information on Result #611657
Linear OA(315, 21, F3, 10) (dual of [21, 6, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 20 | 34−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3136, 141, F3, 91) (dual of [141, 5, 92]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(394, 101, F3, 60) (dual of [101, 7, 61]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(3247, 264, F3, 142) (dual of [264, 17, 143]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(316, 22, F3, 11) (dual of [22, 6, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(3250, 267, F3, 145) (dual of [267, 17, 146]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(3131, 142, F3, 77) (dual of [142, 11, 78]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 7 | Linear OOA(315, 10, F3, 2, 10) (dual of [(10, 2), 5, 11]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(315, 7, F3, 3, 10) (dual of [(7, 3), 6, 11]-NRT-code) | [i] | ||