View source for 18045576. SOFT REED-SOLOMON DECODER FOR A NON-VOLATILE MEMORY simplified abstract (SAMSUNG ELECTRONICS CO., LTD.)

=SOFT REED-SOLOMON DECODER FOR A NON-VOLATILE MEMORY=


==Organization Name==

[[:Category:SAMSUNG ELECTRONICS CO., LTD.|SAMSUNG ELECTRONICS CO., LTD.]]


[[Category:SAMSUNG ELECTRONICS CO., LTD.]]

==Inventor(s)==

[[:Category:Avner Dor of Kfar Saba (IL)|Avner Dor of Kfar Saba (IL)]][[Category:Avner Dor of Kfar Saba (IL)]]

[[:Category:Yaron Shany of Kfar Saba (IL)|Yaron Shany of Kfar Saba (IL)]][[Category:Yaron Shany of Kfar Saba (IL)]]

[[:Category:Ariel Doubchak of Herzliya (IL)|Ariel Doubchak of Herzliya (IL)]][[Category:Ariel Doubchak of Herzliya (IL)]]

[[:Category:Amit Berman of Binyamina (IL)|Amit Berman of Binyamina (IL)]][[Category:Amit Berman of Binyamina (IL)]]

==SOFT REED-SOLOMON DECODER FOR A NON-VOLATILE MEMORY - A simplified explanation of the abstract==


This abstract first appeared for US patent application 18045576 titled 'SOFT REED-SOLOMON DECODER FOR A NON-VOLATILE MEMORY

==Simplified Explanation==

A soft-decision decoding method for error correction in received words is described in the patent application. Here is a simplified explanation of the abstract:

* Computes first and second syndrome polynomials based on the received word and erasure locations.
* Finds a basis and private solution to solve key equations.
* Determines a weak set of symbol locations with low confidence.
* Computes a matrix from the basis, private solution, and weak set.
* Identifies sub-matrices with equal rank to the main matrix.
* Generates error locator polynomial candidates from the sub-matrices, basis, and private solution.
* Corrects the received word using the selected error locator polynomial candidate.

== Potential Applications ==
This technology can be applied in various fields such as telecommunications, data storage, and digital communications for error correction purposes.

== Problems Solved ==
1. Efficient error correction in received data.
2. Improved reliability of transmitted information.

== Benefits ==
1. Increased accuracy in data transmission.
2. Enhanced data integrity.
3. Reduction in retransmission rates.

== Potential Commercial Applications ==
Optimized Error Correction Method for Enhanced Data Transmission

== Possible Prior Art ==
Prior art in error correction methods includes Reed-Solomon codes, BCH codes, and LDPC codes.

=== Unanswered Questions ===

=== How does this method compare to existing error correction techniques in terms of efficiency and accuracy? ===
The article does not provide a direct comparison between this soft-decision decoding method and other error correction techniques. Further research or testing may be needed to determine the performance differences.

=== What impact could this technology have on the overall data transmission industry? ===
The article does not discuss the potential industry-wide implications of implementing this technology. Understanding the broader implications and market adoption of this method would require additional analysis and research.


==Original Abstract Submitted==

A soft-decision decoding computes a first syndrome polynomial in accordance with a received word, computes a second syndrome polynomial by multiplying the first syndrome polynomial by a locator polynomial based on locations of erasures within the received word, finds a basis and private solution to an affine space of polynomials that solve key equations based on the second syndrome polynomial, determines a weak set of a locations of symbols in the received word with confidence below a certain confidence level, computes a matrix from the basis, the private solution and the weak set, determines sub-matrices in the matrix whose rank is equal to a rank of the matrix, determines error locator polynomial (ELP) candidates from the sub-matrices, the basis, and the private solution, and corrects the received word using a selected one of the ELP candidates.



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[[Category:H03M13/11]]