Check list of biblio

Mode of access: Internet.

A check list of North American amphibians and reptiles,

Mode of access: Internet.

Check your asthma "IQ" /

Mode of access: Internet.

Check your weight and heart disease : I.Q. /

Mode of access: Internet.

Check your blood "I.Q."

Mode of access: Internet.

Russia, a Check List Preliminary to a Basic Bibliography of Materials in the Russian Language

Mode of access: Internet.

A handbook of the destructive insects of Victoria, with notes on the methods to be adopted to check and extirpate them.

Mode of access: Internet.

"Check to the King;" or The queen's first move! A drama in two acts.

Mode of access: Internet.

Check list of plants, compiled for the vicinity of Baltimore.

Mode of access: Internet.

Statistical physics of irregular low-density parity-check codes

Low-density parity-check codes with irregular constructions have recently been shown to outperform the most advanced error-correcting codes to date. In this paper we apply methods of statistical physics to study the typical properties of simple irregular codes. We use the replica method to find a phase transition which coincides with Shannon's coding bound when appropriate parameters are chosen. The decoding by belief propagation is also studied using statistical physics arguments; the theoretical solutions obtained are in good agreement with simulation results. We compare the performance of irregular codes with that of regular codes and discuss the factors that contribute to the improvement in performance.

TAP for parity check error correcting codes

We employ the methods presented in the previous chapter for decoding corrupted codewords, encoded using sparse parity check error correcting codes. We show the similarity between the equations derived from the TAP approach and those obtained from belief propagation, and examine their performance as practical decoding methods.

Statistical mechanics of low-density parity check error-correcting codes over Galois fields

A variation of low-density parity check (LDPC) error-correcting codes defined over Galois fields (GF(q)) is investigated using statistical physics. A code of this type is characterised by a sparse random parity check matrix composed of C non-zero elements per column. We examine the dependence of the code performance on the value of q, for finite and infinite C values, both in terms of the thermodynamical transition point and the practical decoding phase characterised by the existence of a unique (ferromagnetic) solution. We find different q-dependence in the cases of C = 2 and C ≥ 3; the analytical solutions are in agreement with simulation results, providing a quantitative measure to the improvement in performance obtained using non-binary alphabets.