Information on Result #1298340
Linear OA(3112, 134, F3, 55) (dual of [134, 22, 56]-code), using construction X with Varšamov bound based on
- linear OA(3100, 120, F3, 55) (dual of [120, 20, 56]-code), using
- 1 times truncation [i] based on linear OA(3101, 121, F3, 56) (dual of [121, 20, 57]-code), using
- linear OA(3100, 122, F3, 46) (dual of [122, 22, 47]-code), using Gilbert–Varšamov bound and bm = 3100 > Vbs−1(k−1) = 177394 199823 811539 813777 384264 371880 341711 539491 [i]
- linear OA(310, 12, F3, 8) (dual of [12, 2, 9]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-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.