Information on Result #1743238
Digital (41, 54, 2882415)-net over F49, using net defined by OOA based on linear OOA(4954, 2882415, F49, 15, 13) (dual of [(2882415, 15), 43236171, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4954, 5764831, F49, 3, 13) (dual of [(5764831, 3), 17294439, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4954, 5764831, F49, 13) (dual of [5764831, 5764777, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,3]) [i] based on
- linear OA(4949, 5764802, F49, 13) (dual of [5764802, 5764753, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(4925, 5764802, F49, 7) (dual of [5764802, 5764777, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(495, 29, F49, 5) (dual of [29, 24, 6]-code or 29-arc in PG(4,49)), using
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- Reed–Solomon code RS(44,49) [i]
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- construction X applied to C([0,6]) ⊂ C([0,3]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4954, 5764831, F49, 13) (dual of [5764831, 5764777, 14]-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.