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Formalizing self-dual code constructions in Lean 4

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This paper introduces a formalization in Lean 4 of constructions for self-dual codes, focusing on isotropic lines. It establishes an equivalence between Chinburg and Zhang's reduction in the binary Hilbert-symbol realization and Kim's building-up construction. The work also extends these mechanisms to a q-ary analogue for q congruent to 1 modulo 4, yielding applications in constructing optimal self-dual codes over finite fields. AI

RANK_REASON The item is an academic paper submitted to arXiv detailing mathematical and computational formalizations. [lever_c_demoted from research: ic=1 ai=0.1]

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Formalizing self-dual code constructions in Lean 4

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The item is an academic paper submitted to arXiv detailing mathematical and computational formalizations. [lever_c_demoted from research: ic=1 ai=0.1]
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  1. arXiv cs.CL TIER_1 English(EN) · Jae-Hyun Baek, Jon-Lark Kim ·

    Formalizing building-up constructions of self-dual codes through isotropic lines in Lean

    arXiv:2604.08485v2 Announce Type: replace-cross Abstract: The purpose of this paper is two-fold. First, we show that, after a specified form isometry, the two-coordinate reduction in the binary Hilbert-symbol realization of Chinburg and Zhang is inverse to Kim's building-up const…

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