Information on Result #1317808
Linear OA(3118, 140, F3, 58) (dual of [140, 22, 59]-code), using construction X with Varšamov bound based on
- linear OA(3107, 127, F3, 58) (dual of [127, 20, 59]-code), using
- 4 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]
- 4 times truncation [i] based on linear OA(3111, 131, F3, 62) (dual of [131, 20, 63]-code), using
- linear OA(3107, 129, F3, 50) (dual of [129, 22, 51]-code), using Gilbert–Varšamov bound and bm = 3107 > Vbs−1(k−1) = 571 572832 431534 326368 643198 503155 370017 366158 506497 [i]
- linear OA(39, 11, F3, 7) (dual of [11, 2, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
- 1 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]
- 1 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(39, 12, F3, 7) (dual of [12, 3, 8]-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.