Information on Result #615831
Linear OA(936, 41, F9, 30) (dual of [41, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [1,15], and minimum distance d ≥ |{−17,−13,−9,…,17}|+1 = 31 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(936, 41, F9, 29) (dual of [41, 5, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9118, 123, F9, 92) (dual of [123, 5, 93]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(9137, 142, F9, 111) (dual of [142, 5, 112]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(3154, 164, F3, 92) (dual of [164, 10, 93]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(937, 42, F9, 31) (dual of [42, 5, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(946, 51, F9, 37) (dual of [51, 5, 38]-code) | [i] | ✔ | |