Perturbation codes

We present a new family of codes with good asymptotic properties. These codes are constructed from simple old codes using a new perturbation operator that we introduce. We provide an error reduction algorithm for these codes that uses only elementary operations with small precision. We also present a soft error reduction algorithm for the expander based codes of Alon-Bruck-Naor-Naor-Roth when concatenated with any binary code.