Best Known (76, 76+20, s)-Nets in Base 32
(76, 76+20, 838860)-Net over F32 — Constructive and digital
Digital (76, 96, 838860)-net over F32, using
- net defined by OOA [i] based on linear OOA(3296, 838860, F32, 20, 20) (dual of [(838860, 20), 16777104, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3296, 8388600, F32, 20) (dual of [8388600, 8388504, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3296, 8388600, F32, 20) (dual of [8388600, 8388504, 21]-code), using
(76, 76+20, large)-Net over F32 — Digital
Digital (76, 96, large)-net over F32, using
- 321 times duplication [i] based on digital (75, 95, large)-net over F32, using
(76, 76+20, large)-Net in Base 32 — Upper bound on s
There is no (76, 96, large)-net in base 32, because
- 18 times m-reduction [i] would yield (76, 78, large)-net in base 32, but