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Everything about Kasami code

Mathematical sequences

Kasami sequences, named after Japanese information theorist Tadao Kasami, are binary sequences of length 2N−1 where N is an even integer. Kasami sequences have good cross-correlation values approaching the Welch lower bound. They are used as low-correlation spreading sequences in spread-spectrum communication systems. There are two classes of Kasami sequences—the small set and the large set. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Kasami codeA 5-minute orientation
  2. Skim a recent paper: The b-symbol weight hierarchy of the Kasami codesInfluential work since 2022
  3. Pick up a classic book: Sequences and their ApplicationsThe most-reprinted book on the subject
  4. Read the landmark paper: A triple-error-correcting cyclic code from the Gold and Kasami–Welch APN power functionsCited 44 times
  5. Go sideways: Gold codeA closely related topic
  6. Go sideways: JPL sequenceA closely related topic

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🗂️ The subject at a glance

  1. Kasami Set

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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