Information on Result #611867
Linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,19], and minimum distance d ≥ |{−1,0,…,19}|+1 = 22 (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(3114, 121, F3, 72) (dual of [121, 7, 73]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3195, 202, F3, 123) (dual of [202, 7, 124]-code) | [i] | ||
| 3 | Linear OA(3201, 208, F3, 129) (dual of [208, 7, 130]-code) | [i] | ||
| 4 | Linear OA(334, 42, F3, 21) (dual of [42, 8, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(336, 44, F3, 23) (dual of [44, 8, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(337, 45, F3, 23) (dual of [45, 8, 24]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OA(3250, 289, F3, 120) (dual of [289, 39, 121]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OOA(333, 20, F3, 2, 21) (dual of [(20, 2), 7, 22]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(333, 13, F3, 3, 21) (dual of [(13, 3), 6, 22]-NRT-code) | [i] | ||