Information on Result #2195528
Linear OA(3192, 195, F3, 133) (dual of [195, 3, 134]-code), using strength reduction based on linear OA(3192, 195, F3, 134) (dual of [195, 3, 135]-code), using
- repeating each code word 15 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(3191, 194, F3, 132) (dual of [194, 3, 133]-code) | [i] | Truncation | |
| 2 | Linear OA(3190, 193, F3, 131) (dual of [193, 3, 132]-code) | [i] | ||
| 3 | Linear OA(3189, 192, F3, 130) (dual of [192, 3, 131]-code) | [i] | ||
| 4 | Linear OA(3187, 190, F3, 128) (dual of [190, 3, 129]-code) | [i] | ||
| 5 | Linear OA(3186, 189, F3, 127) (dual of [189, 3, 128]-code) | [i] | ||
| 6 | Linear OA(3185, 188, F3, 126) (dual of [188, 3, 127]-code) | [i] | ||
| 7 | Linear OOA(3192, 65, F3, 3, 133) (dual of [(65, 3), 3, 134]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3192, 39, F3, 5, 133) (dual of [(39, 5), 3, 134]-NRT-code) | [i] | ||