Author

Songping Ge

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Preprint Oct 2026

Entropy/Length Profile Bounds for the Conversion of (Non)linear Codes in the Merge Regime

Code conversion changes the parameters of encoded data while avoiding complete decoding and re-encoding. Existing general bounds largely rely on the algebraic structure of linear codes. This paper develops an information-theoretic framework for nonlinear code conversion in the merge regime. Using the entropy/length pro...

Song-Ping Ge, Han Cai, Xiao-Hu Tang · 0 citations

Preprint Aug 2026

Convertible Polynomial Evaluation Codes in the Merge Regime: A Skew-Polynomial Framework

In this paper, we develop an algebraic framework for merge-regime convertible codes that works directly with the polynomial-evaluation structure of the underlying codes. We characterize the minimal skew polynomials associated with unions of conjugacy classes, establish an evaluation-compatible product rule, and derive...

Songping Ge, Han Cai, Xiaohu Tang · 0 citations