Best Known (86, 108, s)-Nets in Base 32
(86, 108, 762600)-Net over F32 — Constructive and digital
Digital (86, 108, 762600)-net over F32, using
- 322 times duplication [i] based on digital (84, 106, 762600)-net over F32, using
- net defined by OOA [i] based on linear OOA(32106, 762600, F32, 22, 22) (dual of [(762600, 22), 16777094, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(32106, 8388600, F32, 22) (dual of [8388600, 8388494, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(32106, large, F32, 22) (dual of [large, large−106, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(32106, large, F32, 22) (dual of [large, large−106, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(32106, 8388600, F32, 22) (dual of [8388600, 8388494, 23]-code), using
- net defined by OOA [i] based on linear OOA(32106, 762600, F32, 22, 22) (dual of [(762600, 22), 16777094, 23]-NRT-code), using
(86, 108, large)-Net over F32 — Digital
Digital (86, 108, large)-net over F32, using
- 323 times duplication [i] based on digital (83, 105, large)-net over F32, using
(86, 108, large)-Net in Base 32 — Upper bound on s
There is no (86, 108, large)-net in base 32, because
- 20 times m-reduction [i] would yield (86, 88, large)-net in base 32, but