Information on Result #1317802
Linear OA(3116, 138, F3, 57) (dual of [138, 22, 58]-code), using construction X with Varšamov bound based on
- linear OA(3106, 126, F3, 57) (dual of [126, 20, 58]-code), using
- 5 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]
- 5 times truncation [i] based on linear OA(3111, 131, F3, 62) (dual of [131, 20, 63]-code), using
- linear OA(3106, 128, F3, 50) (dual of [128, 22, 51]-code), using Gilbert–Varšamov bound and bm = 3106 > Vbs−1(k−1) = 354 663790 279804 138763 158781 884549 466549 282213 603499 [i]
- linear OA(38, 10, F3, 6) (dual of [10, 2, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 11, F3, 6) (dual of [11, 3, 7]-code), using
- 2 times truncation [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]
- 2 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 11, F3, 6) (dual of [11, 3, 7]-code), using
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
None.