Information on Result #615671
Linear OA(997, 531442, F9, 19) (dual of [531442, 531345, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(996, 531441, F9, 18) (dual of [531441, 531345, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(9107, 531462, F9, 19) (dual of [531462, 531355, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(9109, 531470, F9, 19) (dual of [531470, 531361, 20]-code) | [i] | ||
| 4 | Linear OA(9106, 531452, F9, 19) (dual of [531452, 531346, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(9110, 531455, F9, 21) (dual of [531455, 531345, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(9100, 531452, F9, 19) (dual of [531452, 531352, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(9101, 531458, F9, 19) (dual of [531458, 531357, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(999, 531452, F9, 18) (dual of [531452, 531353, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(9125, 531470, F9, 23) (dual of [531470, 531345, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(9104, 531473, F9, 19) (dual of [531473, 531369, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(9140, 531485, F9, 25) (dual of [531485, 531345, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(9109, 531483, F9, 19) (dual of [531483, 531374, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(9109, 531490, F9, 19) (dual of [531490, 531381, 20]-code) | [i] | ✔ | |
| 14 | Linear OOA(997, 265721, F9, 2, 19) (dual of [(265721, 2), 531345, 20]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(997, 59049, F9, 19, 19) (dual of [(59049, 19), 1121834, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |