Information on Result #1731982
Digital (50, 70, 1071)-net over F9, using net defined by OOA based on linear OOA(970, 1071, F9, 27, 20) (dual of [(1071, 27), 28847, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(970, 4285, F9, 3, 20) (dual of [(4285, 3), 12785, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(970, 4285, F9, 20) (dual of [4285, 4215, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(970, 6566, F9, 20) (dual of [6566, 6496, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(969, 6565, F9, 20) (dual of [6565, 6496, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(969, 6561, F9, 20) (dual of [6561, 6492, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(965, 6561, F9, 19) (dual of [6561, 6496, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(969, 6565, F9, 20) (dual of [6565, 6496, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(970, 6566, F9, 20) (dual of [6566, 6496, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(970, 4285, F9, 20) (dual of [4285, 4215, 21]-code), using
Mode: 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.