Information on Result #2229124
Linear OA(3177, 180, F3, 123) (dual of [180, 3, 124]-code), using 2 times truncation based on linear OA(3179, 182, F3, 125) (dual of [182, 3, 126]-code), using
- repeating each code word 14 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 OOA(3177, 90, F3, 2, 123) (dual of [(90, 2), 3, 124]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3177, 60, F3, 3, 123) (dual of [(60, 3), 3, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3177, 36, F3, 5, 123) (dual of [(36, 5), 3, 124]-NRT-code) | [i] | ||