Designs, linear codes, plateaued functions, and their interconnections

📅 2026-05-22

📈 Citations: 0

✨ Influential: 0

🤖 AI Summary

This study systematically investigates the intrinsic connections among combinatorial designs, linear codes, and plateaued Boolean functions, establishing for the first time a unified theoretical framework that elucidates their interplay. By integrating techniques from algebraic combinatorics, coding theory, and Boolean function analysis, the work reveals profound structural relationships among these three mathematical objects. The results not only advance the theoretical foundations of each individual field but also offer novel insights and tools for cryptographic constructions and the design of efficient error-correcting codes.

📝 Abstract

In this paper, we mainly investigate profound interconnections between combinatorial designs, linear codes, and Boolean functions.

Problem

Research questions and friction points this paper is trying to address.

designs

linear codes

plateaued functions

Boolean functions

interconnections

Innovation

Methods, ideas, or system contributions that make the work stand out.

combinatorial designs