14 citations · 25 across the 15 of their papers we have counts for
16 papers
Efficient Encoding Algorithm of Binary and Non-Binary LDPC Codes Using Block Triangulation
Yuta Iketo, Takayuki Nozaki
We propose an efficient encoding algorithm for the binary and non-binary low-density parity-check codes. This algorithm transforms the parity part of the parity-check matrix into a…
Distance Enumerators for Number-Theoretic Codes
Takayuki Nozaki
The number-theoretic codes are a class of codes defined by single or multiple congruences and are mainly used for correcting insertion and deletion errors. Since the number-theoret…
Construction and Encoding Algorithm for Maximum Run-Length Limited Single Insertion/Deletion Correcting Code
Reona Takemoto, Takayuki Nozaki
Maximum run-length limited codes are constraint codes used in communication and data storage systems. Insertion/deletion correcting codes correct insertion or deletion errors cause…
Weight Enumerators and Cardinalities for Number-Theoretic Codes
Takayuki Nozaki
The number-theoretic codes are a class of codes defined by single or multiple congruences. These codes are mainly used for correcting insertion and deletion errors, and for correct…
Efficient Scheduling of Serial Iterative Decoding for Zigzag Decodable Fountain Codes
Yoshihiro Murayama, Takayuki Nozaki
Fountain codes are erasure correcting codes realizing reliable communication systems for the multicast on the Internet. The zigzag decodable fountain (ZDF) code is one of generaliz…
Shifted Coded Slotted ALOHA
Tomokazu Emoto, Takayuki Nozaki
The random access scheme is a fundamental scenario in which users transmit through a shared channel and cannot coordinate each other. In recent years, successive interference cance…
Erasure Correcting Codes by Using Shift Operation and Exclusive OR
Yuta Hanaki, Takayuki Nozaki
This paper proposes an erasure correcting code and its systematic form for the distributed storage system. The proposed codes are encoded by exclusive OR and bit-level shift operat…
An Improvement of Non-binary Code Correcting Single b-Burst of Insertions or Deletions
Toyohiko Saeki, Takayuki Nozaki
This paper constructs a non-binary code correcting a single -burst of insertions or deletions with a large cardinality. This paper also proposes a decoding algorithm of this cod…
Analysis of Breakdown Probability of Wireless Sensor Networks with Unreliable Relay Nodes
Takayuki Nozaki, Takafumi Nakano, Tadashi Wadayama
In the present paper, we derive an upper bound of the average network breakdown probability of packet networks with unreliable relay nodes. We here assume that relay nodes get inde…
Cutsize Distributions of Balanced Hypergraph Bipartitions for Random Hypergraphs
Takayuki Nozaki
In a previous work, we presented a parallel encoding algorithm for low-density parity-check (LDPC) codes by partitioning hypergraph representation for the LDPC codes. The aim of th…
Zigzag Decodable Fountain Codes
Takayuki Nozaki
This paper proposes a fountain coding system which has lower space decoding complexity and lower decoding erasure rate than the Raptor coding systems. The main idea of the proposed…
Weight Distribution for Non-binary Cluster LDPC Code Ensemble
Takayuki Nozaki, Masaki Maehara, Kenta Kasai +1
In this paper, we derive the average weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential gro…
Spatially-Coupled Binary MacKay-Neal Codes for Channels with Non-Binary Inputs and Affine Subspace Outputs
Kenta Kasai, Takayuki Nozaki, Kohichi Sakaniwa
We study LDPC codes for the channel with -ary input and output . The receiver kn…
Analysis of Error Floors of Non-Binary LDPC Codes over MBIOS Channel
Takayuki Nozaki, Kenta Kasai, Kohichi Sakaniwa
In this paper, we investigate the error floors of non-binary low-density parity-check (LDPC) codes transmitted over the memoryless binary-input output-symmetric (MBIOS) channels. W…
Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Takayuki Nozaki, Kenta Kasai, Kohichi Sakaniwa
A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system o…
Analytical Solution of Covariance Evolution for Regular LDPC Codes
Takayuki Nozaki, Kenta Kasai, Kohichi Sakaniwa
The covariance evolution is a system of differential equations with respect to the covariance of the number of edges connecting to the nodes of each residual degree. Solving the co…