Best Known (34−10, 34, s)-Nets in Base 25
(34−10, 34, 3152)-Net over F25 — Constructive and digital
Digital (24, 34, 3152)-net over F25, using
- (u, u+v)-construction [i] based on
- digital (1, 6, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- digital (18, 28, 3125)-net over F25, using
- net defined by OOA [i] based on linear OOA(2528, 3125, F25, 10, 10) (dual of [(3125, 10), 31222, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OA 5-folding and stacking [i] based on linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using
- net defined by OOA [i] based on linear OOA(2528, 3125, F25, 10, 10) (dual of [(3125, 10), 31222, 11]-NRT-code), using
- digital (1, 6, 27)-net over F25, using
(34−10, 34, 33015)-Net over F25 — Digital
Digital (24, 34, 33015)-net over F25, using
(34−10, 34, large)-Net in Base 25 — Upper bound on s
There is no (24, 34, large)-net in base 25, because
- 8 times m-reduction [i] would yield (24, 26, large)-net in base 25, but