Information on Result #1768889
Digital (179, 212, 10948)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3212, 10948, F3, 33) (dual of [10948, 10736, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 19733, F3, 33) (dual of [19733, 19521, 34]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3210, 19731, F3, 33) (dual of [19731, 19521, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- linear OA(3199, 19684, F3, 33) (dual of [19684, 19485, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3210, 19731, F3, 33) (dual of [19731, 19521, 34]-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.