In this paper, we propose primitive rateless (PR) codes. A PR code is characterized by the message length and a polynomial over $\mathbf{GF}(2)$, which can generate potentially limitless number of coded symbols. We show that codewords truncated at any arbitrary be represented as subsequences maximum-length sequence ($m$-sequence). characterize Hamming weight distribution codes their duals for p...

Binary Golay sequence pairs exist for lengths 2, 10 and 26 and, by Turyn’s product construction, for all lengths of the form 21026 where a, b, c are non-negative integers. Computer search has shown that all inequivalent binary Golay sequence pairs of length less than 100 can be constructed from five “seed” pairs, of length 2, 10, 10, 20 and 26. We give the first complete explanation of the orig...

The minimal-length encoding approach is applied to define concept of sequence similarity. A sequence is defined to be similar to another sequence or to a set of keywords if it can be encoded in a small number of bits by taking advantage of common subwords. Minimal-length encoding of a sequence is computed in linear time, using a data compression algorithm that is based on a dynamic programming ...

Apolipoprotein A-I is the most abundant protein in Cyprinus carpio plasma that plays an important role in lipid transport and protection of the skin by means of its antimicrobial activity. A 527 bp cDNA fragment encoding C terminus part of apoA-I from the skin mucosa of common carp was isolated using RT-PCR. After GenBank database searching, a partial sequence containing a coding sequence (CDS)...

We consider the problem of identifying support block signal in a sequence when both length and location are unknown. The multivariate version this ...

The presence of at least 80-90 and more typically around 200 nucleotides (nt) at the 5' end of the virion-sense RNA in all naturally occurring defective influenza A virus RNAs suggests that this is essential sequence, whereas the 3'-end sequence may be as short as 25 nt. The stability of defective RNA on serial passage with infectious helper virus also depends on the length of 5'-end sequence. ...

The paper proposes a novel structure for a MASH digital delta-sigma modulator (DDSM) in order to achieve a long sequence length. The expression for the sequence length is derived. The condition to produce the maximum sequence length is also stated. It is proved that the modulator output only depends on the structure of the first-order error feedback modulator (EFM1) which is the first stage of ...