Coding-Theoretic Designs
Codes and designs from finite geometry.
Coding-Theoretic Designs. Codes and designs from finite geometry.
Foundations and canonical references
The standard treatments of coding-theoretic designs approach the subject from complementary angles. Colbourn, Handbook of Combinatorial Designs (2006) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for coding-theoretic designs include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2006Handbook of Combinatorial Designscolbourn-2006, dinitz-2006
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