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In this paper we propose a notion of EXIT functions for LT-codes and raptor codes, and discuss some of their useful properties that can be used to design good codes. We will further use these results to derive interesting conclusions on ranks of random matrices. New expressions for the asymptotic ranks of certain classes of random binary matrices are derived and the results are compared to previously...
Li and Xia have recently investigated the design of space-time codes that achieve full spatial diversity for asynchronous cooperative communications. They show that certain of the binary space-time trellis codes derived from the Hammons-El Gamal stacking construction are delay tolerant and can be used in the multilevel code constructions by Lu and Kumar to produce delay tolerant space-time codes for...
A new construction of a full-diversity full-rate space-time block code (FDFR-STBC) is presented in this paper. The design is for 2 transmit antennas and 2 time slots. The code outperforms the previous FDFR-STBC codes in [3], [4], [5], [6] for 1 receive antenna. We reduce the decoding complexity by exploiting the algebraic structure of the code and using the hybrid maximum-likelihood interference cancellation...
A novel compensation decoding scheme for a given space time frequency linear block code is presented, exploiting the simplicity of zero forcing equalization, and special characteristics of the preceding matrix. The proposed decoding procedure is relatively simple and straightforward in comparison to maximum likelihood decoding (MLD) and sphere decoding (SD). The bit-error-rate performance of the proposed...
Fast correlation attacks have been considerably improved recently, based on efficient decoding algorithms dedicated to very large linear codes in the case of a highly noisy channel. However, a better adaptation of these techniques to the concrete involved stream ciphers is still an open issue
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