An all-optical non-inverted parity generator and checker based on semiconductor optical amplifiers (SOAs) are proposed with four-wave mixing (FWM) cross-gain modulation (XGM) non-linear effects. A 2-bit using by exclusive NOR (XNOR) OR (XOR) gates implemented first SOA second 10 Gb/s return-to-zero (RZ) code, respectively. The check bits provided adjusting the center wavelength of tunable bandp...

Ahstrrrct-A class of convolutional codes called cross parity check (CPC) codes, useful for the protection of data stored on magnetic tape, is described and analyzed. CPC codes are first explained geometrically; their construction is described in terms of constraining data written onto a tape in such a way that, when lines of varying slope are drawn across the tape, the bits falling on those lin...

A code ${\cal C}$ is $\Z_2\Z_4$-additive if the set of coordinates can be partitioned into two subsets $X$ and $Y$ such that the punctured code of ${\cal C}$ by deleting the coordinates outside $X$ (respectively, $Y$) is a binary linear code (respectively, a quaternary linear code). In this paper $\Z_2\Z_4$-additive codes are studied. Their corresponding binary images, via the Gray map, are $\Z...

Based on the construction of linear codes recently proposed by Niederriter and Xing, a corresponding generator matrix is derived. The duality operator and the propagation operator of these extended linear codes are studied. A sufficient and necessary condition under which these two operators are commutative is obtained. This commutative property is found useful for constructing the correspondin...

An (n, k) linear code C of length n over GF(q) = Fq, a Galios field of order q, where q is a prime, is a fc-dimensional linear subspace of F"q, where F"q denotes the space of all n-tuples over GF(q). A generator matrix G of this code is a k x n matrix whose rows form a basis of C. The parity-check matrix H of this code is an(n — fc) x n matrix such that Hv = 0 for all vectors veC. The row space...

In supersymmetric scenarios with broken R-parity, baryon number violating sparticle decays are possible. We report on the development of a framework allowing detailed studies with special attention given to the hadronization phase. In our model, implemented in the Pythia event generator, the baryon number violating vertex is associated with the appearance of a junction in the colour confinement...

In supersymmetric scenarios with broken R-parity, baryon number violating sparticle decays are possible. We report on the development of a framework allowing detailed studies with special attention given to the hadronization phase. In our model, implemented in the Pythia event generator, the baryon number violating vertex is associated with the appearance of a junction in the colour confinement...

In this paper, we study the algebraic structure of Z2[u]Z2[u, v]-additive codes which are Z2[u, v]-submodules where u 2 = v2 = 0 and uv = vu. In particular, we determine a Gray map from Z2[u]Z2[u, v] to Z 2α+8β 2 and study generator and parity check matrices for these codes. Further we study the structure of Z2[u]Z2[u, v]additive cyclic codes and constacyclic codes.

The problem of decoding a binary linear code used over a binary symmetric channel so as to minimize bit error probability, rather than codeword error probability, is studied. In general, there are substantial differences with the maximum likelihood case. The optimal decoding rule depends on the crossover probability of the channel, the bit error probability depends on the generator matrix used,...

The beyond mean-field approach for low-lying hypernuclear states is extended by mixing the configurations associated with both single-particle and quadrupole-octupole collective excitations within generator coordinate method based on a covariant density functional theory. demonstrated in application to of $$_\Lambda ^{21}$$ , where Λ hyperon occupying first (Λs) second (Λp) lowest-energy are co...