Coding Schemes Based on Reed-Muller Codes for (d,∞)-RLL Input-Constrained Channels

VA Rameshwar, N Kashyap - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
codes over (d,∞)-RLL input-constrained DMCs. Our motivation for constructing (d,∞)-RLL
constrained codes using RM codes, … [18] that Reed-Muller (RM) codes achieve, under bitwise …

Coding Schemes Based on Reed-Muller Codes for -RLL Input-Constrained Channels

VA Rameshwar, N Kashyap - arXiv preprint arXiv:2211.05513, 2022 - arxiv.org
codes over (𝑑, ∞)-RLL input-constrained DMCs. Our motivation for constructing (𝑑, ∞)-RLL
constrained codes using RM codes… [18] that Reed-Muller (RM) codes achieve, under bitwise …

Linear runlength-limited subcodes of Reed-Muller codes and coding schemes for input-constrained BMS channels

VA Rameshwar, N Kashyap - 2022 IEEE Information Theory …, 2022 - ieeexplore.ieee.org
… Next, for the setting of a ( , ∞)-RLL input-constrained binary memoryless symmetric (BMS)
channel, we devise a new coding scheme, based on cosets of RM codes. Again, in the limit of …

[PDF][PDF] Capacity Computation and Coding for Input-Constrained Channels

VA Rameshwar - 2023 - arvindrameshwar.github.io
… We design explicit coding schemes, derived from Reed-Muller (RM) codes, for transmission
coding schemes over (d, ∞)-RLL input-constrained BMS channels using Reed-Muller codes

Sampling-based estimates of the sizes of constrained subcodes of Reed-Muller codes

VA Rameshwar, S Jain… - 2024 National Conference …, 2024 - ieeexplore.ieee.org
coding schemes derived from RM codes, for use over specific runlength limited (RLL)
input-constrained BMS channels… of coding schemes using constrained subcodes of RM codes

A Feedback Capacity-Achieving Coding Scheme for the -RLL Input-Constrained Binary Erasure Channel

VA Rameshwar, N Kashyap - arXiv preprint arXiv:2204.06780, 2022 - arxiv.org
inputconstrained binary erasure channel (BEC). The channel input constraint is the (𝑑, ∞)-runlength
limited (RLL) … processes, runlength limited (RLL) constraints, Reed-Muller codes. …

Coding Schemes Based on Reed-Muller Codes for -RLL Input-Constrained Channels

V Arvind Rameshwar, N Kashyap - arXiv e-prints, 2022 - ui.adsabs.harvard.edu
… The paper considers coding schemes derived from Reed-Muller (RM) codes, for … over
input-constrained memoryless channels. Our focus is on the $(d,\infty)$-runlength limited (RLL) …

Linear Runlength-Limited Subcodes of Reed-Muller Codes and Coding Schemes for Input-Constrained BMS Channels

V Arvind Rameshwar, N Kashyap - arXiv e-prints, 2022 - ui.adsabs.harvard.edu
… Next, for the setting of a $(d,\infty)$-RLL input-constrained binary memoryless symmetric (BMS)
channel, we devise a new coding scheme, based on cosets of RM codes. Again, in the …

Counting Constrained Codewords in Binary Linear Codes via Fourier Expansions

VA Rameshwar, N Kashyap - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
… of constrained coding schemes of good rates over input-constrained BMS channels [6]. We
… ≥ 1 and the binary Reed-Muller codes. We shall first fix a canonical ordering of coordinates …

Estimating the sizes of binary error-correcting constrained codes

VA Rameshwar, N Kashyap - IEEE Journal on Selected Areas …, 2023 - ieeexplore.ieee.org
… -correcting constrained coding schemes of good rates over input-constrained BMS channels,
without … ≥ 1, and the binary Reed-Muller codes. We shall first fix a canonical ordering of …