Information on Result #612313
Linear OA(3157, 365, F3, 46) (dual of [365, 208, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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(3157, 365, F3, 45) (dual of [365, 208, 46]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3157, 365, F3, 44) (dual of [365, 208, 45]-code) | [i] | ||
| 3 | Linear OA(3158, 366, F3, 46) (dual of [366, 208, 47]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3159, 367, F3, 46) (dual of [367, 208, 47]-code) | [i] | ||
| 5 | Linear OA(3160, 368, F3, 46) (dual of [368, 208, 47]-code) | [i] | ||
| 6 | Linear OA(3161, 369, F3, 46) (dual of [369, 208, 47]-code) | [i] | ||
| 7 | Linear OA(3156, 364, F3, 45) (dual of [364, 208, 46]-code) | [i] | Truncation | |
| 8 | Linear OA(3155, 363, F3, 44) (dual of [363, 208, 45]-code) | [i] | ||
| 9 | Linear OA(3154, 362, F3, 43) (dual of [362, 208, 44]-code) | [i] | ||
| 10 | Linear OA(3153, 361, F3, 42) (dual of [361, 208, 43]-code) | [i] | ||
| 11 | Linear OA(3163, 371, F3, 47) (dual of [371, 208, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(3162, 371, F3, 46) (dual of [371, 209, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(3163, 377, F3, 46) (dual of [377, 214, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(3170, 378, F3, 48) (dual of [378, 208, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(3168, 388, F3, 46) (dual of [388, 220, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(3166, 381, F3, 46) (dual of [381, 215, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |