Codes in the sum-rank metric: Fundamentals and applications

U Martínez-Peñas, M Shehadeh… - … and Trends® in …, 2022 - nowpublishers.com
Codes in the sum-rank metric have attracted significant attention for their applications in
distributed storage systems, multishot network coding, streaming over erasure channels …

Reliable and secure multishot network coding using linearized Reed-Solomon codes

U Martínez-Peñas… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Multishot network coding is considered in a worst-case adversarial setting in which an
omniscient adversary with unbounded computational resources may inject erroneous …

Rate-optimal streaming codes for channels with burst and random erasures

MN Krishnan, D Shukla… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this paper, we design erasure-correcting codes for channels with burst and random
erasures, when a strict decoding delay constraint is in place. We consider the sliding …

High rate streaming codes over the three-node relay network

MN Krishnan, GK Facenda… - 2021 IEEE …, 2021 - ieeexplore.ieee.org
In this paper, we investigate streaming codes over a three-node relay network. Source node
transmits a sequence of message packets to the destination via a relay. Source-to-relay and …

Rate-optimal streaming codes over the three-node decode-and-forward relay network

S Singhvi, R Gayathri, PV Kumar - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
In this paper, we study the three-node Decode-and-Forward (D&F) relay network subject to
random and burst packet erasures. The source wishes to transmit an infinite stream of …

On Streaming Codes for Simultaneously Correcting Burst and Random Erasures

S Bhatnagar, B Chakraborty, PV Kumar - arXiv preprint arXiv:2405.06621, 2024 - arxiv.org
Streaming codes are packet-level codes that recover dropped packets within a strict
decoding-delay constraint. We study streaming codes over a sliding-window (SW) channel …

On Streaming Codes for Burst and Random Errors

S Bhatnagar, PV Kumar - arXiv preprint arXiv:2405.06606, 2024 - arxiv.org
Streaming codes (SCs) are packet-level codes that recover erased packets within a strict
decoding-delay deadline. Streaming codes for various packet erasure channel models such …

The Partial-Inverse Approach to Linearized Polynomials and Gabidulin Codes With Applications to Network Coding

JH Yu, HA Loeliger - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
This paper introduces the partial-inverse problem for linearized polynomials and develops
its application to decoding Gabidulin codes and lifted Gabidulin codes in linear random …

Low field-size, rate-optimal streaming codes for channels with burst and random erasures

MN Krishnan, D Shukla, PV Kumar - arXiv preprint arXiv:1903.06210, 2019 - arxiv.org
In this paper, we design erasure-correcting codes for channels with burst and random
erasures, when a strict decoding delay constraint is in place. We consider the sliding …

A quadratic field-size rate-optimal streaming code for channels with burst and random erasures

MN Krishnan, D Shukla… - 2019 IEEE International …, 2019 - ieeexplore.ieee.org
We study the problem of designing error-correcting codes over channels with burst and
random erasures, when a strict decoding delay constraint τ is in place. Badr et al. introduced …