Tight Bounds on the Redundancy of Huffman Codes
Soheil Mohajer, Payam Pakzad, Ali Kakhbod
Abstract
In this paper we study the redundancy of Huffman codes. In particular, we consider sources for which the probability of one of the source symbols is known. We prove a conjecture of Ye and Yeung regarding the upper bound on the redundancy of such Huffman codes, which yields in a tight upper bound. We also derive a tight lower bound for the redundancy under the same assumption. We further apply the method introduced in this paper to other related problems. It is shown that several other previously known bounds with different constraints follow immediately from our results.
Create a lesson
Related papers
Galois Hulls of Generalized Roth-Lempel Codes and Their Applications to EAQECCs
Xuefei Wu, Qi Liu, Yingchun Chen et al.
Maximum Entropy Probability Distributions on Spheres with Fixed Mean Busemann Function and Holomorphic-Information-Geometric Model of Cognition
Vladimir Jacimovic
Norm-One Torus Decompositions and Decoding of Gashkov-Sidel'nikov Codes
Minjia Shi, Shitao Li, Yuhong Xia et al.
A Mirror Vanishing Band for Weight Distributions of Binary Linear Codes
Xianmang He
Tri-Hybrid Beamforming Design for Large-Scale MIMO ISAC Systems
Tianyu Fang, Mengyuan Ma, Markku Juntti et al.
Equivalence Between Nested Gibbs Measures and Log-Linear Combinations of Gibbs Measures
Yaiza Bermudez, Samir M. Perlaza, Iñaki Esnaola