Information on Result #1716160
Digital (164, 194, 3651)-net over F3, using net defined by OOA based on linear OOA(3194, 3651, F3, 35, 30) (dual of [(3651, 35), 127591, 31]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3194, 10954, F3, 5, 30) (dual of [(10954, 5), 54576, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 10956, F3, 5, 30) (dual of [(10956, 5), 54586, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3194, 10956, F3, 30) (dual of [10956, 10762, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 19733, F3, 30) (dual of [19733, 19539, 31]-code), using
- 4 times code embedding in larger space [i] based on linear OA(3190, 19729, F3, 30) (dual of [19729, 19539, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 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(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([0,15]) ⊂ C([0,12]) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(3190, 19729, F3, 30) (dual of [19729, 19539, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 19733, F3, 30) (dual of [19733, 19539, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3194, 10956, F3, 30) (dual of [10956, 10762, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 10956, F3, 5, 30) (dual of [(10956, 5), 54586, 31]-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.