Information on Result #1317852
Linear OA(3126, 149, F3, 62) (dual of [149, 23, 63]-code), using construction X with Varšamov bound based on
- linear OA(3113, 133, F3, 62) (dual of [133, 20, 63]-code), using
- discarding factors / shortening the dual code based on linear OA(3113, 134, F3, 62) (dual of [134, 21, 63]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(3113, 134, F3, 62) (dual of [134, 21, 63]-code), using
- linear OA(3113, 136, F3, 53) (dual of [136, 23, 54]-code), using Gilbert–Varšamov bound and bm = 3113 > Vbs−1(k−1) = 548191 028181 429372 425257 556496 719696 113451 230404 298379 [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
None.