Best Known (29, 45, s)-Nets in Base 49
(29, 45, 1225)-Net over F49 — Constructive and digital
Digital (29, 45, 1225)-net over F49, using
- net defined by OOA [i] based on linear OOA(4945, 1225, F49, 16, 16) (dual of [(1225, 16), 19555, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(4945, 9800, F49, 16) (dual of [9800, 9755, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4945, 9804, F49, 16) (dual of [9804, 9759, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(4945, 9800, F49, 16) (dual of [9800, 9755, 17]-code), using
(29, 45, 15751)-Net over F49 — Digital
Digital (29, 45, 15751)-net over F49, using
(29, 45, large)-Net in Base 49 — Upper bound on s
There is no (29, 45, large)-net in base 49, because
- 14 times m-reduction [i] would yield (29, 31, large)-net in base 49, but