Information on Result #612096
Linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(3160, 6561, F3, 30) (dual of [6561, 6401, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(3176, 6578, F3, 31) (dual of [6578, 6402, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3178, 6579, F3, 33) (dual of [6579, 6401, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(3162, 6579, F3, 29) (dual of [6579, 6417, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3164, 6566, F3, 31) (dual of [6566, 6402, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3165, 6572, F3, 31) (dual of [6572, 6407, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3166, 6582, F3, 31) (dual of [6582, 6416, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(3167, 6584, F3, 31) (dual of [6584, 6417, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(3163, 6566, F3, 30) (dual of [6566, 6403, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3164, 6575, F3, 30) (dual of [6575, 6411, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(3165, 6582, F3, 30) (dual of [6582, 6417, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3201, 6590, F3, 37) (dual of [6590, 6389, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(3203, 6598, F3, 37) (dual of [6598, 6395, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(3204, 6603, F3, 37) (dual of [6603, 6399, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(3205, 6606, F3, 37) (dual of [6606, 6401, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(3201, 6602, F3, 36) (dual of [6602, 6401, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(3199, 6600, F3, 35) (dual of [6600, 6401, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(3197, 6598, F3, 34) (dual of [6598, 6401, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(3169, 6590, F3, 31) (dual of [6590, 6421, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(3171, 6598, F3, 31) (dual of [6598, 6427, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(3172, 6603, F3, 31) (dual of [6603, 6431, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(3173, 6606, F3, 31) (dual of [6606, 6433, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(3169, 6602, F3, 30) (dual of [6602, 6433, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(3167, 6600, F3, 29) (dual of [6600, 6433, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(3226, 6627, F3, 39) (dual of [6627, 6401, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(3250, 6643, F3, 42) (dual of [6643, 6393, 43]-code) | [i] | ✔ | |
| 27 | Linear OA(3203, 6601, F3, 37) (dual of [6601, 6398, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(3204, 6605, F3, 37) (dual of [6605, 6401, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(3171, 6601, F3, 31) (dual of [6601, 6430, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(3172, 6605, F3, 31) (dual of [6605, 6433, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(3225, 6626, F3, 39) (dual of [6626, 6401, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(3194, 6596, F3, 33) (dual of [6596, 6402, 34]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 33 | Linear OOA(3161, 3281, F3, 2, 31) (dual of [(3281, 2), 6401, 32]-NRT-code) | [i] | OOA Folding | |