Gabriele Nebe

Interleaver design for turbo codes

The performance of a turbo code with short block length depends critically on the interleaver design. There are two major criteria in the design of an interleaver: the distance spectrum of the code and the correlation between the information input data and the soft output of each decoder corresponding to its parity bits. This paper describes a new interleaver design for turbo codes with short block length based on these two criteria. A deterministic interleaver suitable for turbo codes is also described. Simulation results compare the new interleaver design to different existing interleavers.

The Invariants of the Clifford Groups

AbstractThe automorphism group of the Barnes-Wall lattice Lm in dimension 2m(m ≠ 3) is a subgroup of index 2 in a certain “Clifford group”

Finite quaternionic matrix groups

\mathcal{C}_m

An even unimodular 72-dimensional lattice of minimum 8

of structure 2+1+2m. O+(2m,2). This group and its complex analogue

Unimodular lattices with long shadow

\mathcal{X}_m

Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order

of structure