Published July 26, 2026 | Version v1.1.0

Computations for "Factorwise Divisibility of Sidelnikov–Lempel–Cohn–Eastman Sequence Polynomials at Composite Orders 3ℓ"

Authors/Creators

  • 1. ROR icon Recep Tayyip Erdoğan University

Description

Python scripts supporting the exact finite-field, cyclotomic-integer, and numerical Gauss-sum computations in the paper "Factorwise Divisibility of Sidelnikov–Lempel–Cohn–Eastman Sequence Polynomials at Composite Orders 3ℓ". The archive includes exact factor-pattern computations over F_{p^3}, exact reduction of the order-21 Jacobi sums in Z[X]/(Φ_21(X)), numerical Davenport–Hasse checks, and a script reproducing Table 1 of Section 9. The prime p = 613 is provided as an additional test beyond the table.

Files

slce_order3ell_code_v1.1.0.zip

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Additional details

Dates

Created
2026-07-21