Information on Result #1766421
Digital (144, 181, 1944)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3181, 1944, F3, 37) (dual of [1944, 1763, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, 2228, F3, 37) (dual of [2228, 2047, 38]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3179, 2226, F3, 37) (dual of [2226, 2047, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3141, 2188, F3, 31) (dual of [2188, 2047, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3179, 2226, F3, 37) (dual of [2226, 2047, 38]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.