Work

The Lengths of Projective Triply-Even Binary Codes

Year: 2019

Type: article

Abstract: It is shown that there does not exist a projective triply-even binary code of length 59. This settles the last open length for projective triply-even binary codes, which therefore exist precisely for the lengths 15, 16, 30, 31, 32, 45-51, and ≥ 60.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2019.2940967

Authors: Thomas Honold, Michael Kiermaier, Sascha Kurz, Alfred Wassermann

Institutions: Zhejiang University, University of Bayreuth

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: 子空间编码及相关组合结构的研究