Elements of information theory
Elements of information theory
Information Theory and Reliable Communication
Information Theory and Reliable Communication
A multiuser k-ary code for the noisy multiple-access adder channel
IEEE Transactions on Information Theory
Parallel error correcting codes
IEEE Transactions on Information Theory
Reliable channel regions for good binary codes transmitted over parallel channels
IEEE Transactions on Information Theory
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This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive some bounds about the size of respective parallel error correcting codes. The obtained results imply a single parallel error correcting code can be constructed by two or more kinds of error correcting codes with distinct error correcting capabilities.