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New research explores representation redundancy in finite-field inversion

By PulseAugur Editorial · [1 sources] ·

Researchers have explored how different mathematical representations of inversion over finite fields affect their algebraic structure and learning difficulty. They proved that specific ordered bases correspond to distinct inversion maps, with a direct relationship to Galois orbits. The study analyzed three Boolean formulations, detailing their algebraic degrees and complexity, and found that while exact redundancy exists among representations, it offers limited generalization benefits for learning. AI

RANK_REASON Academic paper published on arXiv detailing mathematical research. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research explores representation redundancy in finite-field inversion

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Academic paper published on arXiv detailing mathematical research. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Zheng Zhang, Na Zhang ·

    Representation Redundancy and Structural Complexity in Finite-Field Inversion

    arXiv:2609.04583v1 Announce Type: new Abstract: The representation chosen for a mathematical operation can affect both its algebraic form and its empirical learning difficulty. We study this phenomenon for inversion over \(\mathbb F_{2^n}\), with field elements expressed in varyi…

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