Low-Lee-density parity-check codes

P Santini, M Battaglioni, F Chiaraluce… - ICC 2020-2020 IEEE …, 2020 - ieeexplore.ieee.org
… of linear block codes over Zq that we name low-Lee-density parity-check (LLDPC) codes.
These … we introduce the new family of codes we name Low-Lee-Density Parity-Check (LLDPC) …

Analysis of low-density parity-check codes over finite integer rings for the Lee channel

J Bariffi, H Bartz, G Liva… - GLOBECOM 2022-2022 …, 2022 - ieeexplore.ieee.org
… class on LDPC codes (namely, for low-Lee-density parity-check codes), and its performance
might be enhanced by taking into account the differences between the two code classes. …

Error-correction performance of regular ring-linear ldpc codes over lee channels

J Bariffi, H Bartz, G Liva… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
… The analysis developed in this paper may serve to design regular low-density paritycheck
(LDPC) codes over integer residue rings for storage and cryptographic application. …

Error-Correction Performance of Regular Ring-Linear LDPC Codes over Lee Channels

J Bariffi, H Bartz, G Liva, J Rosenthal - arXiv preprint arXiv:2312.14674, 2023 - arxiv.org
… failure probability of a general linear block code under maximum likelihood (ML) … ) of the
code. We compute the average Lee weight distribution of low-density parity-check (LDPC) code

[PDF][PDF] Optimizing Lee Weight for Extended Quadratic code (58, 29, 18)

S Banu, S Ramachandran - researchgate.net
codes over GR(p2,m) [4]. The researchers introduced low-lee-density parity-check (LLDPC)
codes over Zq, characterized by low Lee weight rows and columns in the parity-check matrix …

On the hardness of the Lee syndrome decoding problem

V Weger, K Khathuria, AL Horlemann… - arXiv preprint arXiv …, 2020 - arxiv.org
… linear code C if its row space corresponds to C. In addition, we call a matrix H a parity-check
of subtype (k1,...,ks) and rank K we set ks+1 = n−K and bring the paritycheck matrix into the …

On the properties of error patterns in the constant Lee weight channel

J Bariffi, H Bartz, G Liva, J Rosenthal - arXiv preprint arXiv:2110.01878, 2021 - arxiv.org
… Since certain decoder types (eg, iterative decoders employed for low-density parity-check
codes defined over integer rings) require the knowledge of the channel’s marginal conditional …

Decoding of generalized concatenated codes over the one-lee error channel for the McEliece cryptosystem

JP Thiers, J Freudenberger - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
… The legitimate receiver knows the private code and can use the code structure for correcting
the … GC codes with inner BCH codes over Fp and outer Reed-Solomon (RS) codes over the …

Code-based cryptography with generalized concatenated codes for restricted error values

JP Thiers, J Freudenberger - IEEE Open Journal of the …, 2022 - ieeexplore.ieee.org
codes [13] can retrieve the private parity check matrix. In [26], a generalized concatenated
(GC) code construction with inner OMEC codes … of low-density parity-check codes over finite …

Maximum distance separable repeated-root constacyclic codes over with respect to the Lee distance

HQ Dinh, PK Kewat, NK Mondal - Applicable Algebra in Engineering …, 2024 - Springer
… The problem of constructing MDS codes is a central topic in coding theory due to its wide
range of applications. In this paper, we give an analogue of the Singleton bound for codes over …