We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits any dimension ?, which is referred to as ?-adic, but only deletion corrected and the constructed are asymptotically bad. second corrects multiple deletions can construct good codes. also allows conversion stabilizer-based codes, entanglement assistance.

[71 F. J. MacWill iams and N. J. A. Sloane, The Theory of Error-Correcting Codes. New York: North-Holland, 1977. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill, 1968. P. Delsarte, “Automorphisms of Abelian codes,” Philips Res. Rep., vol. 25, pp. 389-402, 1970. F. J. MacWill iams, “Binary codes which are ideals in the group algebra of an Abelian group,” Bell Sysr. Tech. J., vol....

This paper proposes a fountain-code-based multi-path transport protocol, called heterogeneous multi-path transport protocol (HMTP), and evaluates its performance. HMTP improves the throughput performance and path utilization of multi-homing wireless erasure networks. It solves the receive buffer blocking problem and eliminates the need for retransmissions and in-order packet delivery, both of w...

In high-speed satellite-to-ground laser communications, it has been shown that the Markov-based erasure channel model is well suited for the downlink experiment results. In that model, since the average erasure rate is relatively high, a low-rate error correction code is needed. In this paper, we focus on the application of low rate systematic Luby transform (SLT) code and show that the perform...

In this dissertation we present new methods for designing efficient Raptor codes in finite and practical block lengths. First we propose an extension of Raptor codes which keeps all the desirable properties, including the linear complexity of encoding and decoding per information bit, and improves the performance in terms of the reception rate. Our simulations show a 10% reduction in the requir...

Attenuation and fading events can corrupt Free Space Optical (FSO) links. It would be so recommended to add mitigation error codes on the communication links. FSO channel can be described as an erasure channel (fading events can cause erasure errors), and we have identified in rateless codes (RCs) a suitable solution to be employed in FSO links. RCs do not need feedback and they add a redundant...