Best Known (2, 2+4, s)-Nets in Base 49
(2, 2+4, 1176)-Net over F49 — Constructive and digital
Digital (2, 6, 1176)-net over F49, using
- net defined by OOA [i] based on linear OOA(496, 1176, F49, 4, 4) (dual of [(1176, 4), 4698, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(496, 1176, F49, 3, 4) (dual of [(1176, 3), 3522, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(496, 2352, F49, 4) (dual of [2352, 2346, 5]-code), using
- 1 times truncation [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(496, 2352, F49, 4) (dual of [2352, 2346, 5]-code), using
- appending kth column [i] based on linear OOA(496, 1176, F49, 3, 4) (dual of [(1176, 3), 3522, 5]-NRT-code), using
(2, 2+4, 3465)-Net in Base 49 — Upper bound on s
There is no (2, 6, 3466)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 13843 481281 > 496 [i]