# Construction of Parallel RIO Codes using Coset Coding with Hamming Codes

## TL;DR

This paper introduces a novel method for constructing parallel RIO codes using coset coding with Hamming codes, enabling more efficient data storage in multilevel flash memory by encoding multiple pages simultaneously.

## Contribution

It presents a new construction of parallel RIO codes leveraging coset coding with Hamming codes, improving data storage efficiency over previous methods.

## Key findings

- Constructed codes store more pages than previous coset coding RIO codes.
- Utilized coset coding with Hamming codes for parallel encoding.
- Enhanced data storage in multilevel flash memory.

## Abstract

Random input/output (RIO) code is a coding scheme that enables reading of one logical page using a single read threshold in multilevel flash memory. The construction of RIO codes is equivalent to the construction of WOM codes. Parallel RIO (P-RIO) code is an RIO code that encodes all pages in parallel. In this paper, we utilize coset coding with Hamming codes in order to construct P-RIO codes. Coset coding is a technique that constructs WOM codes using linear binary codes. We leverage the information on the data of all pages to encode each page. Our constructed codes store more pages than RIO codes constructed via coset coding.