6 papers
Concatenated Codes for Short-Molecule DNA Storage with Sequencing Channels of Positive Zero-Undetected-Error Capacity
Ran Tamir, Nir Weinberger, Albert Guillén i Fàbregas
We study the amount of reliable information that can be stored in a DNA-based storage system with noisy sequencing, where each codeword is composed of short DNA molecules. We analy…
Achievable Rates and Error Exponents for a Class of Mismatched Compound Channels
Priyanka Patel, Francesc Molina, Albert Guillén i Fàbregas
This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding met…
Typical Error Exponents: A Dual Domain Derivation
Giuseppe Cocco, Albert Guillén i Fàbregas, Josep Font-Segura
This paper shows that the probability that the error exponent of a given code randomly generated from a pairwise independent ensemble being smaller than a lower bound on the typica…
A Single-Letter Upper Bound to the Mismatch Capacity
Ehsan Asadi Kangarshahi, Albert Guillén i Fàbregas
We derive a single-letter upper bound to the mismatched-decoding capacity for discrete memoryless channels. The bound is expressed as the mutual information of a transformation of…
Large Deviations Behavior of the Logarithmic Error Probability of Random Codes
Ran Tamir, Neri Merhav, Nir Weinberger +1
This work studies the deviations of the error exponent of the constant composition code ensemble around its expectation, known as the error exponent of the typical random code (TRC…
The Error Probability of Generalized Perfect Codes via the Meta-Converse
Gonzalo Vazquez-Vilar, Albert Guillén i Fàbregas, Sergio Verdú
We introduce a definition of perfect and quasi-perfect codes for symmetric channels parametrized by an auxiliary output distribution. This notion generalizes previous definitions o…