Correction to "The Generalized Stochastic Likelihood Decoder: Random Coding and Expurgated Bounds"

TL;DR

This paper addresses a correction to a previously published theorem related to the generalized stochastic likelihood decoder, ensuring the mathematical validity of the bounds and coding strategies in information theory.

Contribution

It provides a correction to the proof of Theorem 2 in the original paper, strengthening the theoretical foundation of the generalized stochastic likelihood decoder.

Findings

Corrected proof of Theorem 2 ensures validity

Reinforces the bounds on stochastic likelihood decoding

Clarifies the mathematical assumptions and steps

Abstract

This purpose of this letter is to handle a gap that was found in the proof of Theorem 2 in the paper "The generalized stochastic likelihood decoder: random coding and expurgated bounds."