Information on Result #1317826
Linear OA(3122, 145, F3, 60) (dual of [145, 23, 61]-code), using construction X with Varšamov bound based on
- linear OA(3109, 129, F3, 60) (dual of [129, 20, 61]-code), using
- 2 times truncation [i] based on linear OA(3111, 131, F3, 62) (dual of [131, 20, 63]-code), using
- a “DaH†code from Brouwer’s database [i]
- 2 times truncation [i] based on linear OA(3111, 131, F3, 62) (dual of [131, 20, 63]-code), using
- linear OA(3109, 132, F3, 51) (dual of [132, 23, 52]-code), using Gilbert–Varšamov bound and bm = 3109 > Vbs−1(k−1) = 7737 273681 008009 410780 407243 811616 830208 051036 216859 [i]
- 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: 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(3126, 151, F3, 60) (dual of [151, 25, 61]-code) | [i] | Construction X with Varšamov Bound | |