Information on Result #611843
Linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, 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(3144, 531441, F3, 18) (dual of [531441, 531297, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(3154, 531452, F3, 19) (dual of [531452, 531298, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3170, 531467, F3, 21) (dual of [531467, 531297, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(3148, 531446, F3, 19) (dual of [531446, 531298, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3149, 531452, F3, 19) (dual of [531452, 531303, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3150, 531462, F3, 19) (dual of [531462, 531312, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3151, 531472, F3, 19) (dual of [531472, 531321, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3147, 531446, F3, 18) (dual of [531446, 531299, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3148, 531455, F3, 18) (dual of [531455, 531307, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3149, 531470, F3, 18) (dual of [531470, 531321, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(3203, 531478, F3, 25) (dual of [531478, 531275, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(3204, 531483, F3, 25) (dual of [531483, 531279, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3205, 531498, F3, 25) (dual of [531498, 531293, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3206, 531503, F3, 25) (dual of [531503, 531297, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(3201, 531483, F3, 24) (dual of [531483, 531282, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(3202, 531499, F3, 24) (dual of [531499, 531297, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(3155, 531478, F3, 19) (dual of [531478, 531323, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(3156, 531483, F3, 19) (dual of [531483, 531327, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(3153, 531483, F3, 18) (dual of [531483, 531330, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(3154, 531499, F3, 18) (dual of [531499, 531345, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(3204, 531501, F3, 25) (dual of [531501, 531297, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3156, 531501, F3, 19) (dual of [531501, 531345, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3233, 531524, F3, 27) (dual of [531524, 531291, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3170, 531468, F3, 21) (dual of [531468, 531298, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 25 | Linear OOA(3145, 265721, F3, 2, 19) (dual of [(265721, 2), 531297, 20]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(3145, 59049, F3, 19, 19) (dual of [(59049, 19), 1121786, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |