Information on Result #1191618
Digital (42, 55, 1368)-net over F8, using net defined by OOA based on linear OOA(855, 1368, F8, 13, 13) (dual of [(1368, 13), 17729, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(855, 8209, F8, 13) (dual of [8209, 8154, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(854, 8208, F8, 13) (dual of [8208, 8154, 14]-code), using
- trace code [i] based on linear OA(6427, 4104, F64, 13) (dual of [4104, 4077, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(6427, 4104, F64, 13) (dual of [4104, 4077, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(854, 8208, F8, 13) (dual of [8208, 8154, 14]-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.