Sampling-based estimates of the sizes of constrained subcodes of Reed-Muller codes
VA Rameshwar, S Jain… - 2024 National Conference …, 2024 - ieeexplore.ieee.org
This paper develops an algorithmic approach for obtaining approximate, numerical
estimates of the sizes of subcodes of Reed-Muller (RM) codes, all of the codewords in which …
estimates of the sizes of subcodes of Reed-Muller (RM) codes, all of the codewords in which …
A Version of Delsarte's Linear Program for Constrained Systems
VA Rameshwar, N Kashyap - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
In this paper, we present numerical upper bounds on the sizes of constrained codes with a
prescribed minimum distance. We accomplish this by extending Delsarte's linear program …
prescribed minimum distance. We accomplish this by extending Delsarte's linear program …
Counting Constrained Codewords in Binary Linear Codes via Fourier Expansions
VA Rameshwar, N Kashyap - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
In this paper, we consider the problem of computing the sizes of subcodes of binary linear
codes, all of whose codewords need to satisfy an additional property, which we call a …
codes, all of whose codewords need to satisfy an additional property, which we call a …