Ring-Structured Erasure Coding for Faster Data Recovery
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional storage systems face inefficiencies in recovery performance, reliability, and storage overhead due to the use of erasure codes like RAID 6 and replication techniques, which trade off recovery performance for storage efficiency and reliability.
Innovation Solution
A method that converts a data chunk into a ring algebraic structure by appending extra data and performing exclusive or (XOR) operations for erasure coding, replacing costly multiplication with efficient pointer movements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If Reed-Solomon erasure coding is used to improve data reliability and storage efficiency, then storage overhead is reduced and reliability is improved, but recovery performance deteriorates due to complex multiplication operations
Solution Approach 1:
The patent changes the algebraic parameters by mapping data to a ring structure where multiplication by powers of x becomes equivalent to cyclic bit-shift operations. This parameter transformation allows maintaining the mathematical properties needed for Reed-Solomon coding while changing the operation type from complex multiplication to simple bit-shifting, thereby improving recovery performance while preserving reliability
Solution Approach 2:
The patent substitutes the mechanical multiplication operation with a bit-shift and XOR operation system. By representing data polynomials in a ring structure where multiplication by x^k corresponds to left-shifting by k positions, the system replaces computationally expensive multiplication with efficient bitwise operations, significantly accelerating recovery performance
2Reliability
If conventional erasure coding methods are used to maintain data redundancy, then reliability is improved, but storage overhead increases and efficiency decreases
Solution Approach 1:
The patent transforms the data representation parameters to enable more efficient encoding. By organizing data into a ring structure where elements are polynomials modulo x^n - 1, the system achieves the same redundancy goals with optimized storage layout, reducing the overhead while maintaining the mathematical guarantees of Reed-Solomon error correction
3Quantity of substance
If Reed-Solomon coding is used to improve storage efficiency, then storage overhead is reduced, but computational complexity increases due to multiplication operations
Solution Approach 1:
The patent replaces the complex multiplication mechanism with a simpler bit-shift and XOR mechanism. In the ring structure, multiplying a polynomial by x^k is equivalent to left-shifting the coefficient array by k positions and wrapping around, which can be implemented with simple memory operations and XOR gates, dramatically reducing computational complexity while maintaining storage efficiency
Solution Approach 2:
The patent segments the computational process into independent bit-level operations. By representing polynomials as arrays of coefficients and using bit-shift operations, each multiplication step becomes a series of independent, parallelizable bit operations, reducing the overall computational complexity and enabling more efficient implementation
Data Source
AI summary
One embodiment provides a method comprising arranging a first data chunk into a ring structure, tagging the first data chunk by appending extra data to the first data chunk, and performing erasure coding on the first data chunk utilizing only exclusive or (XOR) operations.