nowadays acoustic emission (ae) testing based on the kaiser effect (ke) is increasingly used to estimate the in-situ stress in laboratories. in this work, this effect is assessed on cylindrical specimens in numerical simulations of the cyclic loadings including loading, unloading, and re-loading cycles using a 3d code called the particle flow code (pfc) based upon the distinct element method. t...

We extend the framework for studying the stopping redundancy of a linear block code by introducing and analyzing the stopping redundancy hierarchy. The stopping redundancy hierarchy of a code represents a measure of the trade-off between performance and complexity of iteratively decoding a code used over the binary erasure channel. It is defined as an ordered list of positive integers in which ...

This paper presents some basic theorems giving the structure of cyclic codes of length n over the ring of integers modulo pa and over the p-adic numbers, where p is a prime not dividing n. An especially interesting example is the 2-adic cyclic code of length 7 with generator polynomial X 3 + ,~X 2 + (L I)X -l, where )~ satisfies ~2 _ k + 2 = 0. This is the 2-adic generalization of both the bina...

A specific LDPC check matrix structure is used to form multi-channel alternative signal to solve the problem that traditional block codes inhibiting PAPR scheme is not suitable for a large number of sub-carriers and LDPC code is applied to the field of optimization of peak-to-average ratio. A rapid construction method of LDPC check matrix and fast encoding process using matrix are analyzed in d...

We determine the structure of cyclic codes over Z4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the number of these codes. We end by examining specific cases of cyclic codes, giving all cyclic self-dual...

Abstract. Relative generalized Hamming weights (RGHWs) of a linear code respect to a linear subcode determine the security of the linear ramp secret sharing scheme based on the code. They can be used to express the information leakage of the secret when some keepers of shares are corrupted. Cyclic codes are an interesting type of linear codes and have wide applications in communication and stor...

In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [4] that only certain combinations of the algebraic parameters (field size, length, dimension, and Forney indices) can occur for such cyclic codes. We will investigate whether all these combinations can inde...

A Z2-triple cyclic code of block length (r,s, t) is a binary code of length r + s+ t such that the code is partitioned into three parts of lengths r, s and t such that each of the three parts is invariant under the cyclic shifts of the coordinates. Such a code can be viewed as Z2[x]-submodules of Z2[x] 〈xr−1〉 × Z2[x] 〈xs−1〉 × Z2[x] 〈xt−1〉 , in polynomial representation. In this paper, we determ...

In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [3] that only certain combinations of the parameters (field size, length, dimension, and Forney indices) can occur for cyclic codes. We will investigate whether all these combinations can indeed be realized ...

We give an algorithm for generating cyclic self-orthogonal (CSO) codes for an arbitrary positive integer n with gcd(n; q) = 1. Given a cyclic q-ary code of length n, we determine how many codes isomorphic to the given code are cyclic. We introduce a mass formula for CSO(n; q) codes of maximum dimension. Using the mass formula we classify CSO(63; 2) codes. This mass formula works for any cyclic ...