Optimality of Huffman Code in the Class of 1-bit Delay Decodable Codes

التفاصيل البيبلوغرافية
العنوان: Optimality of Huffman Code in the Class of 1-bit Delay Decodable Codes
المؤلفون: Hashimoto, Kengo, Iwata, Ken-ichi
سنة النشر: 2022
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Computer Science - Information Theory
الوصف: For a given independent and identically distributed (i.i.d.) source, Huffman code achieves the optimal average codeword length in the class of instantaneous code with a single code table. However, it is known that there exist time-variant encoders, which achieve a shorter average codeword length than the Huffman code, using multiple code tables and allowing at most k-bit decoding delay for k = 2, 3, 4, . . .. On the other hand, it is not known whether there exists a 1-bit delay decodable code, which achieves a shorter average length than the Huffman code. This paper proves that for a given i.i.d. source, a Huffman code achieves the optimal average codeword length in the class of 1-bit delay decodable codes with a finite number of code tables.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2209.08874
رقم الأكسشن: edsarx.2209.08874
قاعدة البيانات: arXiv