The interplay between quadrupole and octupole degrees of freedom is discussed in a series neutron-rich actinides superheavy nuclei with $92 \le$ Z $\le 110$ $186 N 202$. In addition to the static Hartree-Fock-Bogoliubov approach, dynamical beyond-mean-field correlations are taken into account via both parity restoration symmetry-conserving Generator Coordinate Method calculations based on Gogny...

In this paper, capacity-achieving codes for memoryless binary-input output-symmetric (MBIOS) channels under maximum-likelihood (ML) decoding with bounded graphical complexity are investigated. The graphical complexity of a code is defined as the number of edges in the graphical representation of the code per information bit and is proportional to the decoding complexity per information bit per ...

The NASA proposal for the Consultative Committee for Space Data Systems (CCSDS) experimental specification CCSDS 131.1-O-2 [1] describes a set of low-density parity-check (LDPC) codes for nearEarth and deep-space applications. That experimental specification describes two kinds of codes. The second one is a set of accumulate–repeat–4–jagged–accumulate (AR4JA) codes, which have characteristics p...

We consider user cooperation in a wireless relay network that comprises a collection of transmitters sending data to a common receiver through inherently unreliable and constantly changing channels. Exploiting the recently developed technology of network coding, we propose a new framework, termed adaptive network coded cooperation (ANCC), as a practical, de-centralized, adaptive and efficient c...

LDPC lattices were the first family of lattices that equipped with iterative decoding algorithms under which they perform very well in high dimensions. In this paper, we introduce quasi cyclic low density parity check (QC-LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC code as their underlying code. These lattices are obtained from Construction A of lattices providing ...

The paper has a threefold purpose. The first purpose is to present an explicit description of expanded cyclic codes defined in GF(qm). The proposed explicit construction of expanded generator matrix and expanded parity check matrix maintains the symbol-wise algebraic structure and thus keeps many important original characteristics. The second purpose of this paper is to identify a class of cons...

Quantum fluctuations and stability of tetrahedral deformations in atomic nuclei. The possible existence of stable axial octupole and tetrahedral deformations is investigated in 80 Zr and 98 Zr. HFBCS calculations with parity projection have been performed for various parametrizations of the Skyrme energy functional. The correlation and ex-citation energies of negative parity states associated w...

For a given operator D(t) of an observable in theoretical parity-time symmetric quantum physics (or for its evolution-generator analogues in the experimental gain-loss classical optics, etc.) the instant tcritical of a spontaneous breakdown of the parity-time alias gain-loss symmetry should be given, in the rigorous language of mathematics, the Kato’s name of an “exceptional point”, tcritical =...

We cryptanalyse here two variants of the McEliece cryptosystem based on quasi-cyclic codes. Both aim at reducing the key size by restricting the public and secret generator matrices to be in quasi-cyclic form. The first variant considers subcodes of a primitive BCH code. The aforementioned constraint on the public and secret keys implies to choose very structured permutations. We prove that thi...