Information on Result #1715226
Digital (134, 158, 3826)-net over F3, using net defined by OOA based on linear OOA(3158, 3826, F3, 28, 24) (dual of [(3826, 28), 106970, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3158, 11479, F3, 4, 24) (dual of [(11479, 4), 45758, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 11480, F3, 4, 24) (dual of [(11480, 4), 45762, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 11480, F3, 24) (dual of [11480, 11322, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, 19733, F3, 24) (dual of [19733, 19575, 25]-code), using
- 4 times code embedding in larger space [i] based on linear OA(3154, 19729, F3, 24) (dual of [19729, 19575, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(39, 45, F3, 4) (dual of [45, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(3154, 19729, F3, 24) (dual of [19729, 19575, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, 19733, F3, 24) (dual of [19733, 19575, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 11480, F3, 24) (dual of [11480, 11322, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 11480, F3, 4, 24) (dual of [(11480, 4), 45762, 25]-NRT-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.