Erasure coding must work [114], [114], [188], [62], [70], [179], [68], [179], [95], [68], [54], [152], [114], [191], [114], [59], [168], [148], [99], [58]. Given the current status of selflearning methodologies, cryptographers dubiously desire the exploration of red-black trees. PAVAGE, our new application for the construction of systems, is the solution to all of these issues.

In this paper, we propose an EXIT chart-based approach to code design for low-density parity-check (LDPC)coded modulations. In particular, the adopted technique iteratively modifies the LDPC code degree distribution in order to achieve a target bit error rate (BER) at a given (and possibly small) number of iterations. In this paper, we limit ourselves to communication systems on a binary erasur...

The finite-length performance of multi-edge spatially coupled low-density parity-check (SC-LDPC) codes is analyzed over the binary erasure channel (BEC). Existing scaling laws are extended to arbitrary protograph base matrices including puncturing patterns and multiple edges between nodes. Compared to more involved rate-1/2 structures proposed to improve the threshold to minimum distance trade-...

We present a scheme for erasure decoding of AG-codes of complexity O(n2). This improves on methods involving Fourier transforms. The trivial scheme for erasure decoding of AG-codes (Algebraic Geometry codes in full, or Geometric Goppa codes) solves a system of linear equations. The scheme is of complexity O(n), where n denotes the codelength. Fast schemes, that use a Fourier transform of all sy...

P2P data storage requires strong reliability and security assurances. Existing data storage solutions have been designed for centralized as well as distributed settings, yet they do not address the security and cooperation issues raised by self-organization. P2P systems also introduce new needs regarding data availability due to the dynamicity of the infrastructure, and which are unaddressed so...

We explain how to optimize finite-length LDPC codes for transmission over the binary erasure channel. Our approach relies on an analytic approximation of the erasure probability. This is in turn based on a finite-length scaling result to model large scale erasures and a union bound involving minimal stopping sets to take into account small error events. We show that the performances of optimize...

In this paper we introduce a lowest density MDS array code which is applied to a Smart Meter network to introduce reliability. By treating the network as distributed storage with multiple sources, information can be exchanged between the nodes in the network allowing each node to store parity symbols relating to data from other nodes. A lowest density MDS array code is then applied to make the ...

We consider the data delivery problem in delay tolerant networks, where a data content is located in a fixed source need to be delivered to a specific destination. We assume nodes have limited storage and computational capabilities. In this paper, we initially, explore the data delivery problem, for both unbiased and biased contact models. Based on our observations, we propose a data delivery s...

The traditional definition of Integrated Interleaved (II) codes generally assumes that the component nested are either Reed-Solomon (RS) or shortened codes. By taking general classes codes, we present a recursive construction Extended (EII) into multiple layers, problem brought attention in literature for II layer approach allows hierarchical scheme where each code provides different locality. ...