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cs.IT2024
Estimating the Weight Enumerators of Reed-Muller Codes via Sampling
Shreyas Jain, V. Arvind Rameshwar, Navin Kashyap
This paper develops an algorithmic approach for obtaining estimates of the weight enumerators of Reed-Muller (RM) codes. Our algorithm is based on a technique for estimating the pa…
cs.IT2023
Sampling-Based Estimates of the Sizes of Constrained Subcodes of Reed-Muller Codes
V. Arvind Rameshwar, Shreyas Jain, Navin Kashyap
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 satisfy…
cs.IT2020
Computable Lower Bounds for Capacities of Input-Driven Finite-State Channels
V. Arvind Rameshwar, Navin Kashyap
This paper studies the capacities of input-driven finite-state channels, i.e., channels whose current state is a time-invariant deterministic function of the previous state and the…