Information on Result #3261732
Digital (81, 99, 29131)-net over F8, using 81 times duplication based on digital (80, 98, 29131)-net over F8, using
- net defined by OOA [i] based on linear OOA(898, 29131, F8, 18, 18) (dual of [(29131, 18), 524260, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(898, 262179, F8, 18) (dual of [262179, 262081, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(898, 262179, F8, 18) (dual of [262179, 262081, 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.