Information on Result #2196309
Linear OA(3205, 208, F3, 142) (dual of [208, 3, 143]-code), using strength reduction based on linear OA(3205, 208, F3, 143) (dual of [208, 3, 144]-code), using
- repeating each code word 16 times [i] 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(3204, 207, F3, 141) (dual of [207, 3, 142]-code) | [i] | Truncation | |
| 2 | Linear OA(3203, 206, F3, 140) (dual of [206, 3, 141]-code) | [i] | ||
| 3 | Linear OA(3202, 205, F3, 139) (dual of [205, 3, 140]-code) | [i] | ||
| 4 | Linear OA(3200, 203, F3, 137) (dual of [203, 3, 138]-code) | [i] | ||
| 5 | Linear OA(3199, 202, F3, 136) (dual of [202, 3, 137]-code) | [i] | ||
| 6 | Linear OA(3198, 201, F3, 135) (dual of [201, 3, 136]-code) | [i] | ||
| 7 | Linear OOA(3205, 104, F3, 2, 142) (dual of [(104, 2), 3, 143]-NRT-code) | [i] | OOA Folding | |