Information on Result #612533
Linear OA(3170, 183, F3, 98) (dual of [183, 13, 99]-code), using an extension Ce(97) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,97], and designed minimum distance d ≥ |I|+1 = 98
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(3171, 190, F3, 94) (dual of [190, 19, 95]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3176, 195, F3, 98) (dual of [195, 19, 99]-code) | [i] | ✔ | |
| 3 | Linear OA(3171, 191, F3, 93) (dual of [191, 20, 94]-code) | [i] | ✔ | |
| 4 | Linear OA(3180, 200, F3, 98) (dual of [200, 20, 99]-code) | [i] | ✔ | |
| 5 | Linear OA(3177, 197, F3, 97) (dual of [197, 20, 98]-code) | [i] | ✔ | |
| 6 | Linear OA(3173, 193, F3, 94) (dual of [193, 20, 95]-code) | [i] | ✔ | |
| 7 | Linear OA(3178, 198, F3, 98) (dual of [198, 20, 99]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(3174, 194, F3, 95) (dual of [194, 20, 96]-code) | [i] | ✔ | |
| 9 | Linear OA(3172, 192, F3, 94) (dual of [192, 20, 95]-code) | [i] | ✔ | |