Information on Result #1811780
Digital (39, 76, 1817)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6476, 1817, F64, 2, 37) (dual of [(1817, 2), 3558, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6476, 2054, F64, 2, 37) (dual of [(2054, 2), 4032, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6476, 4108, F64, 37) (dual of [4108, 4032, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(6473, 4097, F64, 37) (dual of [4097, 4024, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(6465, 4097, F64, 33) (dual of [4097, 4032, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(643, 11, F64, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,64) or 11-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- OOA 2-folding [i] based on linear OA(6476, 4108, F64, 37) (dual of [4108, 4032, 38]-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.