Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Abstract—We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code e...
Constantinos Daskalakis, Alexandros G. Dimakis, Ri...
— In 1982 Ungerboeck presented a set-partitioning design technique for trellis coded modulation (TCM). Although this technique directly assigns constellation points to the branch...
Miguel Griot, Andres I. Vila Casado, Richard D. We...
This paper proposes a general and systematic code design method to efficiently combine constrained codes with parity-check (PC) codes for optical recording. The proposed constraine...