Information on Result #3262176
Digital (132, 162, 17478)-net over F8, using 81 times duplication based on digital (131, 161, 17478)-net over F8, using
- net defined by OOA [i] based on linear OOA(8161, 17478, F8, 30, 30) (dual of [(17478, 30), 524179, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(8161, 262170, F8, 30) (dual of [262170, 262009, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, 262172, F8, 30) (dual of [262172, 262011, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(8161, 262172, F8, 30) (dual of [262172, 262011, 31]-code), using
- OA 15-folding and stacking [i] based on linear OA(8161, 262170, F8, 30) (dual of [262170, 262009, 31]-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.