New Multiple Insertion-Deletion Correcting Codes for Non-Binary Alphabets

TL;DR

This paper extends Helberg's binary insertion-deletion correcting codes to non-binary alphabets and introduces a linear decoding algorithm for multiple deletions.

Contribution

It generalizes existing binary codes to non-binary alphabets and provides a linear decoding method for multiple deletions.

Findings

Successfully generalized codes to non-binary alphabets.

Developed a linear decoding algorithm for multiple deletions.

Achieved correction of multiple insertions and deletions.

Abstract

We generalize Helberg's number-theoretic construction of multiple insertion-deletion correcting binary codes to non-binary alphabets and describe a linear decoding algorithm for correcting multiple deletions.