Information on Result #610408
Linear OA(3166, 169, F3, 116) (dual of [169, 3, 117]-code), using repeating each code word 13 times based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
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(3166, 169, F3, 115) (dual of [169, 3, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3166, 169, F3, 114) (dual of [169, 3, 115]-code) | [i] | ||
| 3 | Linear OA(3167, 170, F3, 116) (dual of [170, 3, 117]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3165, 168, F3, 115) (dual of [168, 3, 116]-code) | [i] | Truncation | |
| 5 | Linear OA(3164, 167, F3, 114) (dual of [167, 3, 115]-code) | [i] | ||
| 6 | Linear OA(3163, 166, F3, 113) (dual of [166, 3, 114]-code) | [i] | ||
| 7 | Linear OA(3161, 164, F3, 111) (dual of [164, 3, 112]-code) | [i] | ||
| 8 | Linear OA(3160, 163, F3, 110) (dual of [163, 3, 111]-code) | [i] | ||
| 9 | Linear OA(3159, 162, F3, 109) (dual of [162, 3, 110]-code) | [i] | ||