Encoded decoding process

Figure 3. The modeling relation, as adapted from J. L. Casti [90] The encoding operation provides the link between a natural system (real world) and its formal representation (mathematical world). A set of rules and computational methods allows to infer properties (theorems) of the formal system. Using a decoding relation, we can interpret those theorems in terms of the behavior of the natural system. In this sense, the inferred properties of the formal system become predictions about the natural system, allowing us to verify the consistency of the encoding. The modeling process needs to provide the appropriate encoding/decoding relations that translate back and forth between thereal world and the mathematical world.

The DNA strands were first reported by Brenner and co-workers to define the sequence of a peptide constructed on a solid support. Upon completion of the synthesis, an on-bead assay was performed. Whereas each bioactive peptide was defined by a unique DNA sequence, the decoding process simply involved amplification of the code by the polymerase chain reaction followed by sequencing. This technique marked the beginning of the tagging method for encoded split synthesis. Sequenceable peptide strands are an alternative to DNA encoding. The code is read by HPLC of the Edmon degradation phenylthiohydantoin amino acid derivatives, a well-developed microsequencing method. 

The user now can select a Percent value for the chromatographic peaks to be used in the decode process. The default is 40%. Empirically this has been found to be a good compromise value to adjust for variations in encoding chemistry and decoding analysis. But more or less stringent percentages can be useful in special cases. 

An (n, k) binary ECC encodes a -bit input word in an n-bit output word [7]. Fig. 1 synthesizes the encoding and decoding processes. The input word u=(mo, Ui,. .., Uk-i) is a A -bit vector which represents the original data. The codeword h= bo, bj,. .., bn-i) is a vector of n bits, where the code adds the required redundancy. It is transmitted across the channel which delivers the received word r=(ro, rj,. .., r ). The error... 

Figure 4.S Tlie sequencing graph for the encoder and decoder processes in the Error correcting code example.

The Error correcting code ( CQ design simulates the serial transmission of data on a noisy line with single-bit error correction. The design consists of three processes, encoder, decoder, and noise. On the rising edge of new data. 

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