Information on Result #1201640
Digital (27, 46, 476)-net over F64, using net defined by OOA based on linear OOA(6446, 476, F64, 21, 19) (dual of [(476, 21), 9950, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6446, 1429, F64, 3, 19) (dual of [(1429, 3), 4241, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6446, 1431, F64, 3, 19) (dual of [(1431, 3), 4247, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(649, 65, F64, 3, 9) (dual of [(65, 3), 186, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;186,64) [i]
- linear OOA(6437, 1366, F64, 3, 19) (dual of [(1366, 3), 4061, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, 4098, F64, 19) (dual of [4098, 4061, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(6437, 4098, F64, 19) (dual of [4098, 4061, 20]-code), using
- linear OOA(649, 65, F64, 3, 9) (dual of [(65, 3), 186, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6446, 1431, F64, 3, 19) (dual of [(1431, 3), 4247, 20]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.