Construction of lattices over the real sub-field of ℚ(ς8) for block fading (wiretap) coding

In this paper, we consider the challenge of ensuring secure communication in block-fading wiretap channels using encoding techniques. We investigate the coding for block-fading wiretap channels using stacked lattice codes constructed over completely real number fields, which is a well-established technique. In this paper, we consider degree-four complex multiplication field Formula: see text over Formula: see text. We employ binary codes to generate a lattice over Formula: see text, which is subsequently used to form an integral lattice. The resulting integral lattice can be effectively applied to enhance the security of communication within block-fading wiretap channels.