Information on Result #612526
Linear OA(3163, 183, F3, 91) (dual of [183, 20, 92]-code), using an extension Ce(90) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91
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(3163, 183, F3, 90) (dual of [183, 20, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3163, 183, F3, 89) (dual of [183, 20, 90]-code) | [i] | ||
| 3 | Linear OA(3163, 183, F3, 88) (dual of [183, 20, 89]-code) | [i] | ||
| 4 | Linear OA(3163, 183, F3, 87) (dual of [183, 20, 88]-code) | [i] | ||
| 5 | Linear OA(3163, 183, F3, 86) (dual of [183, 20, 87]-code) | [i] | ||
| 6 | Linear OA(3163, 183, F3, 85) (dual of [183, 20, 86]-code) | [i] | ||
| 7 | Linear OA(3165, 185, F3, 91) (dual of [185, 20, 92]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(3166, 186, F3, 91) (dual of [186, 20, 92]-code) | [i] | ||
| 9 | Linear OA(3167, 187, F3, 91) (dual of [187, 20, 92]-code) | [i] | ||
| 10 | Linear OA(3168, 188, F3, 91) (dual of [188, 20, 92]-code) | [i] | ||
| 11 | Linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(3171, 191, F3, 93) (dual of [191, 20, 94]-code) | [i] | ✔ | |
| 13 | Linear OA(3180, 200, F3, 98) (dual of [200, 20, 99]-code) | [i] | ✔ | |
| 14 | Linear OA(3177, 197, F3, 97) (dual of [197, 20, 98]-code) | [i] | ✔ | |
| 15 | Linear OA(3173, 193, F3, 94) (dual of [193, 20, 95]-code) | [i] | ✔ | |
| 16 | Linear OA(3178, 198, F3, 98) (dual of [198, 20, 99]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3174, 194, F3, 95) (dual of [194, 20, 96]-code) | [i] | ✔ | |
| 18 | Linear OA(3172, 192, F3, 94) (dual of [192, 20, 95]-code) | [i] | ✔ | |
| 19 | Linear OA(3177, 199, F3, 91) (dual of [199, 22, 92]-code) | [i] | Construction X with Varšamov Bound | |
| 20 | Linear OA(3175, 197, F3, 90) (dual of [197, 22, 91]-code) | [i] | ||
| 21 | Linear OOA(3163, 61, F3, 3, 91) (dual of [(61, 3), 20, 92]-NRT-code) | [i] | OOA Folding | |