This paper is concerned with the trellis structure of linear block codes. The paper consists of four parts. In the first part, we investigate the state and branch complexities of a trellis diagram for a linear block code. A trellis diagram with the minimum number of states is said to be minimal. First, we express the branch complexity of a minimal trellis diagram for a linear block code in term...

A critical review of seismic design provisions for concentrically braced frames (CBFs) in both European and North American (i.e. US and Canadian) codes is presented in this paper. Indeed, even though those codes are based on capacity design philosophy, different requirements and different approaches are used to guarantee the hierarchy of resistances between dissipative and non-dissipative eleme...

Structural and thermal engineers currently work independently of each other using unrelated tools, models, and methods. Without the ability to rapidly exchange design data and predicted performance, the achievement of the ideals of concurrent engineering is not possible. Thermal codes have been unable to exploit the geometric information in structural models and the CAD design database, and do ...

We search for assignments of numbers to the amino acids (property codes) that maximize the autocorrelation function signal in given protein sequence data by an iterative method. Our method yields similar results to optimization with the related extended Jacobi method for joint diagonalization and standard optimization tools. In nonhomologous sets representative of all proteins we find optimal p...

Numerous wireless contact systems such as IS-54, superior data tariff for the GSM succession (EDGE), universal interoperability for microwave access (WiMAX) and long term progression (LTE) have adopted low-density parity-check (LDPC), tail-biting intricacy, and turbo codes as the forward error correcting codes (FEC) method on behalf of information and transparency channels. Consequently, severa...

The rank and kernel of 1-perfect additive codes is determined. Additive codes could be seen as translation-invariant propelinear codes and, in this correspondence, a characterization of propelinear codes as codes having a regular subgroup of the full group of isometries of the code is established. A characterization of the automorphism group of a 1-perfect additive code is given and also the ca...

Recent trends in structural mechanics applications of Finite Element codes show an increasing demand for efficient stochastic analysis tools. While in principle virtually all stochastic problems can be solved by Monte-Carlo simulation, the computational cost may be prohibitively large. Therefore more effective approximations based on e.g. the Response Surface Method become quite popular. Altern...

We extend the original cylinder conjecture on point sets in affine three-dimensional space to more general framework of divisible linear codes over $\mathbb{F}_q$ and their classification. Through a mix programming, combinatorial techniques computer enumeration, we investigate structural properties these codes. In this way, can prove reduction theorem for generalization conjecture, show some in...