Show that E \supseteq F is Galois, find the lattice of field, and find a primitive element for each field. If E = \mathbb{Z}_2(u), where u is a root of x^4 + x + 1, and F = \mathbb{Z}_2. Let V = span{4 + x^2, 4 - x^2, x^2}. Find a basis for V. Note...
More robust relations and time-lock encryption for long time periods The longer the time between encryption and decryption of a ciphertext is, the more difficult it becomes to find a suitable target bound function \(\delta \). One could, however, instead use relations which are more “robust...
In crystallography In SSP k (in general): momentum space vector; G: reciprocal lattice points 15 Proof: the reciprocal lattice of BCC is FCCUse primitive translation vectors only BCC FCC x y z corner Up and down F and B L and R 16 BCC 17 The vector set is the same as the FCC...
LatticeECP3 device requires dedicated or primary clock resources to drive DDR (Double Data Rate) primitive components. The clock nets from the clock input pads to the destination DDR component must use pure primary or dedicated clock nets. If you implement a dynamic clock selector element in ...