YoVDO

Construction and Decoding of Short Codes

Offered By: Simons Institute via YouTube

Tags

Coding Theory Courses Gaussian Elimination Courses

Course Description

Overview

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Explore the construction and decoding of short-length codes in this 43-minute lecture by Xiao Ma from Sun Yat-sen University. Delve into staircase matrix codes (SMCs) and their unique staircase-like generator or parity-check matrices, enabling parallel implementation of Gaussian elimination for efficient decoding. Learn about the ordered statistic decoding (OSD)-like algorithm for SMCs, which offers low decoding latency and capacity-approaching performance. Discover the locally constrained OSD (LC-OSD) algorithm, which reduces the number of searches compared to conventional OSD through serial list Viterbi algorithm and tailored early termination criteria. Examine a new decoding algorithm for polar codes that combines successive-cancellation list (SCL) decoding with enumerative search and guessing random additive noise decoding (GRAND), resulting in reduced complexity and latency without compromising performance.

Syllabus

Construction And Decoding Of Short Codes


Taught by

Simons Institute

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