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Three Families of Projective Binary Linear Codes of at Most Four Weights

Published: August 25, 2025 | arXiv ID: 2508.18030v1

By: Tonghui Zhang, Pinhui Ke, Zuling Chang

Potential Business Impact:

Finds new math codes for secret messages.

Business Areas:
Telecommunications Hardware

Three classes of binary linear codes with at most four nonzero weights were constructed in this paper, in which two of them are projective three-weight codes. As applications, $s$-sum sets for any odd $ s > 1$ were constructed.

Country of Origin
🇨🇳 China

Page Count
19 pages

Category
Computer Science:
Information Theory