Information on Result #612216
Linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(3220, 6581, F3, 38) (dual of [6581, 6361, 39]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3210, 6570, F3, 40) (dual of [6570, 6360, 41]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3201, 6569, F3, 38) (dual of [6569, 6368, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(3220, 6574, F3, 41) (dual of [6574, 6354, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3221, 6581, F3, 41) (dual of [6581, 6360, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3204, 6574, F3, 38) (dual of [6574, 6370, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(3205, 6581, F3, 38) (dual of [6581, 6376, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(3232, 6588, F3, 43) (dual of [6588, 6356, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3233, 6593, F3, 43) (dual of [6593, 6360, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(3231, 6591, F3, 42) (dual of [6591, 6360, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(3207, 6591, F3, 38) (dual of [6591, 6384, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(3243, 6597, F3, 44) (dual of [6597, 6354, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(3244, 6602, F3, 44) (dual of [6602, 6358, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(3245, 6605, F3, 44) (dual of [6605, 6360, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(3211, 6597, F3, 38) (dual of [6597, 6386, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3212, 6602, F3, 38) (dual of [6602, 6390, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(3213, 6605, F3, 38) (dual of [6605, 6392, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(3217, 6617, F3, 38) (dual of [6617, 6400, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(3222, 6630, F3, 38) (dual of [6630, 6408, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(3243, 6600, F3, 44) (dual of [6600, 6357, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(3244, 6604, F3, 44) (dual of [6604, 6360, 45]-code) | [i] | ✔ | |
| 22 | Linear OA(3211, 6600, F3, 38) (dual of [6600, 6389, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(3212, 6604, F3, 38) (dual of [6604, 6392, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(3215, 6614, F3, 38) (dual of [6614, 6399, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(3216, 6616, F3, 38) (dual of [6616, 6400, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(3224, 6640, F3, 38) (dual of [6640, 6416, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(3242, 6596, F3, 44) (dual of [6596, 6354, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(3241, 6594, F3, 44) (dual of [6594, 6353, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(3230, 6585, F3, 42) (dual of [6585, 6355, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(3229, 6583, F3, 42) (dual of [6583, 6354, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(3228, 6581, F3, 42) (dual of [6581, 6353, 43]-code) | [i] | ✔ | |
| 32 | Linear OA(3234, 6595, F3, 43) (dual of [6595, 6361, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(3232, 6593, F3, 42) (dual of [6593, 6361, 43]-code) | [i] | ✔ | |
| 34 | Linear OA(3219, 6572, F3, 41) (dual of [6572, 6353, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(3222, 6583, F3, 41) (dual of [6583, 6361, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(3211, 6572, F3, 40) (dual of [6572, 6361, 41]-code) | [i] | ✔ | |
| 37 | Linear OA(3203, 6572, F3, 38) (dual of [6572, 6369, 39]-code) | [i] | ✔ | |
| 38 | Linear OA(3206, 6583, F3, 38) (dual of [6583, 6377, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(3210, 6596, F3, 38) (dual of [6596, 6386, 39]-code) | [i] | ✔ | |
| 40 | Linear OA(3209, 6594, F3, 38) (dual of [6594, 6385, 39]-code) | [i] | ✔ | |