A Dive into Binius with Ulvetanna
Zero Knowledge
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Challenges and Benefits of Using Prime Fields in the Stark Protocol
This chapter discusses the challenges of using Starks protocol and the benefits of using prime fields. It explores the mapping of rows of a trace to a cyclic subgroup in a Prime field Stark and the development of multi-linear provers like Hyperplonk and Breakdown. The chapter also highlights the trend towards small fields, the construction of bigger fields using field extension, and the advantages of using small fields in terms of reduced bandwidth, memory usage, and efficient arithmetic.
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