Information on Result #3261857
Digital (71, 92, 3277)-net over F8, using 81 times duplication based on digital (70, 91, 3277)-net over F8, using
- net defined by OOA [i] based on linear OOA(891, 3277, F8, 21, 21) (dual of [(3277, 21), 68726, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(891, 32771, F8, 21) (dual of [32771, 32680, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(891, 32773, F8, 21) (dual of [32773, 32682, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(891, 32773, F8, 21) (dual of [32773, 32682, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(891, 32771, F8, 21) (dual of [32771, 32680, 22]-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.