Information on Result #1716282
Digital (144, 175, 1408)-net over F3, using net defined by OOA based on linear OOA(3175, 1408, F3, 35, 31) (dual of [(1408, 35), 49105, 32]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3175, 4225, F3, 5, 31) (dual of [(4225, 5), 20950, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 4227, F3, 5, 31) (dual of [(4227, 5), 20960, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3175, 4227, F3, 31) (dual of [4227, 4052, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3175, 6608, F3, 31) (dual of [6608, 6433, 32]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3172, 6605, F3, 31) (dual of [6605, 6433, 32]-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(311, 43, F3, 5) (dual of [43, 32, 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([0,15]) ⊂ C([0,12]) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3172, 6605, F3, 31) (dual of [6605, 6433, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3175, 6608, F3, 31) (dual of [6608, 6433, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3175, 4227, F3, 31) (dual of [4227, 4052, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 4227, F3, 5, 31) (dual of [(4227, 5), 20960, 32]-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.