Information on Result #1841389
(29, 40, 419433)-net in base 64, using net defined by OOA based on OOA(6440, 419433, S64, 11, 11), using
- OOA 5-folding and stacking with additional row [i] based on OA(6440, 2097166, S64, 11), using
- discarding factors based on OA(6440, 2097168, S64, 11), using
- discarding parts of the base [i] based on linear OA(12834, 2097168, F128, 11) (dual of [2097168, 2097134, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- linear OA(12831, 2097153, F128, 11) (dual of [2097153, 2097122, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1283, 15, F128, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,128) or 15-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- discarding parts of the base [i] based on linear OA(12834, 2097168, F128, 11) (dual of [2097168, 2097134, 12]-code), using
- discarding factors based on OA(6440, 2097168, S64, 11), using
Mode: Constructive.
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.