Information on Result #611568
Linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(341, 86, F3, 15) (dual of [86, 45, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3242, 758, F3, 59) (dual of [758, 516, 60]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(3230, 758, F3, 57) (dual of [758, 528, 58]-code) | [i] | ||
| 4 | Linear OA(3110, 277, F3, 32) (dual of [277, 167, 33]-code) | [i] | Construction XX with Cyclic Codes | |
| 5 | Linear OA(3109, 275, F3, 32) (dual of [275, 166, 33]-code) | [i] | ||
| 6 | Linear OA(3119, 286, F3, 33) (dual of [286, 167, 34]-code) | [i] | ||
| 7 | Linear OA(3117, 283, F3, 33) (dual of [283, 166, 34]-code) | [i] | ||
| 8 | Linear OA(3115, 276, F3, 33) (dual of [276, 161, 34]-code) | [i] | ||
| 9 | Linear OA(3119, 286, F3, 34) (dual of [286, 167, 35]-code) | [i] | ||
| 10 | Linear OA(3117, 283, F3, 34) (dual of [283, 166, 35]-code) | [i] | ||
| 11 | Linear OA(3115, 281, F3, 33) (dual of [281, 166, 34]-code) | [i] | ||
| 12 | Linear OA(3120, 277, F3, 35) (dual of [277, 157, 36]-code) | [i] | ||
| 13 | Linear OA(3119, 275, F3, 35) (dual of [275, 156, 36]-code) | [i] | ||
| 14 | Linear OA(3126, 293, F3, 35) (dual of [293, 167, 36]-code) | [i] | ||
| 15 | Linear OA(3124, 290, F3, 35) (dual of [290, 166, 36]-code) | [i] | ||
| 16 | Linear OA(3127, 283, F3, 36) (dual of [283, 156, 37]-code) | [i] | ||
| 17 | Linear OA(3129, 286, F3, 37) (dual of [286, 157, 38]-code) | [i] | ||
| 18 | Linear OA(3127, 283, F3, 37) (dual of [283, 156, 38]-code) | [i] | ||
| 19 | Linear OA(3125, 281, F3, 36) (dual of [281, 156, 37]-code) | [i] | ||
| 20 | Linear OA(3247, 774, F3, 61) (dual of [774, 527, 62]-code) | [i] | ||
| 21 | Linear OA(3246, 772, F3, 61) (dual of [772, 526, 62]-code) | [i] | ||
| 22 | Linear OA(3114, 271, F3, 34) (dual of [271, 157, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 23 | Linear OA(3104, 271, F3, 31) (dual of [271, 167, 32]-code) | [i] | ||
| 24 | Linear OOA(313, 14, F3, 2, 7) (dual of [(14, 2), 15, 8]-NRT-code) | [i] | OOA Folding | |