In magnetic recording channels, a standard code architecture consists of an outer Reed-Solomon code in concatenation with an inner parity code. The inner parity code is used to detect and correct commonly occurring error events. Generally, a parity code with short block length performs better, as multiple error events within one block and, consequently, miscorrection are less likely. In this pa...

Results: Average ovulation rate for all sows in the study was 14.58 +/0.32 ova and for the parity-two sows was 14.0 +/0.23 ova. The mean weaning-to-breeding interval for the parity-two sows was 5.87 +/0.14 days. Ovulation rate in the parity-two sows increased by 0.25 +/0.09 ova as the number of piglets weaned in the sow’s previous parity increased by one piglet (P <.05). The parity-two sow’s po...

A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G having no parity path (a parity edge-coloring). Let p̂(G) be the least number of colors in an edge-coloring of G having no open parity walk (a strong parity edge-coloring). Always p̂(G) ≥ p(G) ≥ χ′(G). We prove that p̂(Kn) = ...

In this work we shall investigate quantum query complexity of weak PARITY problem. Weak Parity is the following natural query problem: What is the minimum number of queries necessary to compute PARITY(x1, x2, x3, . . . , xn) on at least 1 2 + fraction of the inputs. For randomized classical or exact quantum machines this relaxed PARITY problem remains as hard as original PARITY problem. Althoug...

In this paper, we propose a highly reliable disk array architecture called Dual-Crosshatch Disk Array (DCDA). We have proposed a low overhead, triple-erasure correcting parity organization called interleaved 2d-parity scheme. This parity scheme is used as the basis for the design of the DCDA architecture. DCDA uses a hybrid approach of RAID-4 and RAID-5 with one dedicated parity group and anoth...

Parity helps us determine whether an arithmetic equation is true or false. The current research examines the development of sensitivity to parity cues in multiplication in typically achieving (TA) children (grades 2, 3, 4 and 6) and in children with mathematics learning disabilities (MLD, grades 6 and 8), via a verification task. In TA children the onset of parity sensitivity was observed at th...

We study recovering parity check relations for an unknown code from intercepted bitstream received from Binary Symmetric Channel in this paper. An iterative column elimination algorithm is introduced which attempts to eliminate parity bits in codewords of noisy data. This algorithm is very practical due to low complexity and use of XOR operator. Since, the computational complexity is low, searc...

We consider partially observable Markov decision processes (POMDPs) with ω-regular conditions specified as parity objectives. The class of ω-regular languages extends regular languages to infinite strings and provides a robust specification language to express all properties used in verification, and parity objectives are canonical forms to express ω-regular conditions. The qualitative analysis...

In this paper, we test the real interest parity, uncovered interest parity, and purchasing power parity (PPP) for China against the US, European Union, the UK, and Japan. The real interest parity is an aggregate measure of economic integration, which can be decomposed into the integration of two major markets: the financial market and the goods market. The integration of each market can be furt...