Information on Result #1811556
Digital (34, 66, 1780)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6466, 1780, F64, 2, 32) (dual of [(1780, 2), 3494, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6466, 2053, F64, 2, 32) (dual of [(2053, 2), 4040, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6466, 4106, F64, 32) (dual of [4106, 4040, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(6466, 4107, F64, 32) (dual of [4107, 4041, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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 Ce(31) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(6466, 4107, F64, 32) (dual of [4107, 4041, 33]-code), using
- OOA 2-folding [i] based on linear OA(6466, 4106, F64, 32) (dual of [4106, 4040, 33]-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.