3 papers
cs.IT2026
The Construction of Near-optimal Universal Coding of Integers
Wei Yan, Yunghsiang S. Han
The Universal Coding of Integers~(UCI) is suitable for discrete memoryless sources with unknown probability distributions and infinitely countable alphabet sizes. A UCI is a class…
cs.IT2026
A Novel Formula for Solving Quadratic Equations over Binary Extension Fields
Leilei Yu, Yunghsiang S. Han, Pingping Li +1
Solving quadratic equations over finite fields is a fundamental task in algebraic coding theory and serves as a key subroutine for computing the roots of cubic and quartic polynomi…
cs.IT2025
A Fast Decoding Algorithm for Generalized Reed-Solomon Codes and Alternant Codes
Nianqi Tang, Yunghsiang S. Han, Danyang Pei +1
In this paper, it is shown that the syndromes of generalized Reed-Solomon (GRS) codes and alternant codes can be characterized in terms of inverse fast Fourier transform, regardles…