Information on Result #3261719
Digital (46, 64, 456)-net over F8, using 81 times duplication based on digital (45, 63, 456)-net over F8, using
- net defined by OOA [i] based on linear OOA(863, 456, F8, 18, 18) (dual of [(456, 18), 8145, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(863, 4104, F8, 18) (dual of [4104, 4041, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(863, 4105, F8, 18) (dual of [4105, 4042, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(863, 4105, F8, 18) (dual of [4105, 4042, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(863, 4104, F8, 18) (dual of [4104, 4041, 19]-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.