Information on Result #1716124
Digital (144, 174, 1661)-net over F3, using net defined by OOA based on linear OOA(3174, 1661, F3, 35, 30) (dual of [(1661, 35), 57961, 31]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3174, 4984, F3, 5, 30) (dual of [(4984, 5), 24746, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3174, 4984, F3, 30) (dual of [4984, 4810, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3174, 6607, F3, 30) (dual of [6607, 6433, 31]-code), using
- 5 times code embedding in larger space [i] based on linear OA(3169, 6602, F3, 30) (dual of [6602, 6433, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(38, 40, F3, 4) (dual of [40, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(3169, 6602, F3, 30) (dual of [6602, 6433, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3174, 6607, F3, 30) (dual of [6607, 6433, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3174, 4984, F3, 30) (dual of [4984, 4810, 31]-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.