13 papers · ranked by Valyu relevance
Yaping Xu, Lulu Ding, Shigang Wu, Jue Ruan
Composite DNA letters, by merging all four DNA nucleotides in specified ratios, offer a pathway to substantially increase the logical density of DNA digital storage (DDS) systems. However, these letters are susceptible to nucleotide errors and sampling bias, leading to a high letter error rate, which complicates…
Lulu Ding, Shigang Wu, Zhihao Hou, Alun Li + 4 more
'Weihua Pan' 'Jue Ruan'] Title: ABSTRACT Error-correcting codes (ECCs) employed in the state-of-the-art DNA digital storage (DDS) systems suffer from a trade-off between error-correcting capability and the proportion of redundancy. To address this issue, in this study, we introduce soft-decision decoding approach into…
Yingyao Zhou, Natasha Devroye, György Turán, Miloš Žefran
—We present an interpretation of Deepcode, a learned feedback code that showcases higher-order error correction relative to an earlier interpretable model [1]. By interpretation, we mean succinct analytical encoder and decoder expressions (albeit with learned parameters) in which the role of feedback in achieving error…
Martin Bossert, Rebekka Schulz, Sebastian Bitzer
—The binary primitive BCH codes are cyclic and are constructed by choosing a subset of the cyclotomic cosets. Which subset is chosen determines the dimension, the minimum distance and the weight distribution of the BCH code. We construct possible BCH codes and determine their coderate, true minimum distance and the…
Michael Windisch, Jakob Wassermann, Monica Leba, Olimpiu Stoicuta + 1 more
In communication technologies such as digital watermarking, wireless sensor networks (WSNs), and visual light communication (VLC), error-correcting codes are crucial. The Enhanced Hadamard Error-Correcting Code (EHC), which is based on 2D Hadamard Basis Images, is a novel error correction technique that is presented in…
Anisha Banerjee, Andreas Lenz, Antonia Wachter-Zeh
—Sequential decoding, commonly applied to substitution channels, is a sub-optimal alternative to Viterbi decoding with significantly reduced memory costs. In this work, a sequential decoder for convolutional codes over channels that are prone to insertion, deletion, and substitution errors, is described and analyzed.…
Lukas Holzbaur, Hannes Bartz, Antonia Wachter-Zeh
Staircase codes play an important role as error-correcting codes in optical communications. In this paper, a low-complexity method for resolving stall patterns when decoding staircase codes is described. Stall patterns are the dominating contributor to the error floor in the original decoding method. Our improvement is…
David Kracht, Steffen Schober
Background Barcode multiplexing is a key strategy for sharing the rising capacity of next-generation sequencing devices: Synthetic DNA tags, called barcodes, are attached to natural DNA fragments within the library preparation procedure. Different libraries, can individually be labeled with barcodes for a joint…
Polykarpos Thomadakis, Antonios Argyriou
In this paper we provide a detailed description of Reed-Solomon (RS) codes, the most important algorithms for decoding them, and their use in concatenated coding systems for space applications. In the current literature there is scattered information regarding the bit-level implementation of such codes for either space…
Peter Michael Schwarz, Bernd Freisleben
Today's digital data storage systems typically offer advanced data recovery solutions to address the problem of catastrophic data loss, such as software-based disk sector analysis or physical-level data retrieval methods for conventional hard disk drives. However, DNA-based data storage currently relies solely on the…
Pulakesh Upadhyaya, Anxiao Jiang
The persistent storage of big data requires advanced error correction schemes. The classical approach is to use error correcting codes (ECCs). This work studies an alternative approach, which uses the redundancy inherent in data itself for error correction. This type of redundancy, called Natural Redundancy (NR), is…
Leonid V. Bystrykh, Jo-Ann L. Stanton
The diversity and scope of multiplex parallel sequencing applications is steadily increasing. Critically, multiplex parallel sequencing applications methods rely on the use of barcoded primers for sample identification, and the quality of the barcodes directly impacts the quality of the resulting sequence data.…
Geunyeong Yu, Jaekyun Moon
—Two concatenated coding schemes based on fixedrate Raptor codes are proposed for error control in NAND flash memory. One is geared for off-line recovery of uncorrectable pages and the other is designed for page error correction during the normal read mode. Both proposed coding strategies assume harddecision decoding…