Information on Result #976093
Linear OOA(788, 2882410, F7, 3, 11) (dual of [(2882410, 3), 8647142, 12]-NRT-code), using OOA 2-folding based on linear OOA(788, 5764820, F7, 2, 11) (dual of [(5764820, 2), 11529552, 12]-NRT-code), using
- trace code [i] based on linear OOA(4944, 2882410, F49, 2, 11) (dual of [(2882410, 2), 5764776, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4944, 5764820, F49, 11) (dual of [5764820, 5764776, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4944, 5764821, F49, 11) (dual of [5764821, 5764777, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- linear OA(4941, 5764802, F49, 11) (dual of [5764802, 5764761, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(493, 19, F49, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,49) or 19-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4944, 5764821, F49, 11) (dual of [5764821, 5764777, 12]-code), using
- OOA 2-folding [i] based on linear OA(4944, 5764820, F49, 11) (dual of [5764820, 5764776, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.