Information on Result #1716314
Digital (160, 191, 3119)-net over F3, using net defined by OOA based on linear OOA(3191, 3119, F3, 35, 31) (dual of [(3119, 35), 108974, 32]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3191, 9358, F3, 5, 31) (dual of [(9358, 5), 46599, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 9360, F3, 5, 31) (dual of [(9360, 5), 46609, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3191, 9360, F3, 2, 31) (dual of [(9360, 2), 18529, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 9861, F3, 2, 31) (dual of [(9861, 2), 19531, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3191, 19722, F3, 31) (dual of [19722, 19531, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3191, 19723, F3, 31) (dual of [19723, 19532, 32]-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(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3191, 19723, F3, 31) (dual of [19723, 19532, 32]-code), using
- OOA 2-folding [i] based on linear OA(3191, 19722, F3, 31) (dual of [19722, 19531, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 9861, F3, 2, 31) (dual of [(9861, 2), 19531, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3191, 9360, F3, 2, 31) (dual of [(9360, 2), 18529, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 9360, F3, 5, 31) (dual of [(9360, 5), 46609, 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.