Explicit factorization of some period polynomials

DOI10.1007/978-3-030-68869-1_13zbMath1480.11157OpenAlexW3132706803MaRDI QIDQ2232222

Gerardo Vega

Publication date: 4 October 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-68869-1_13

zbMATH Keywords

weight distributionperiod polynomialsirreducible cyclic codesGaussian periods

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Applications of graph theory to circuits and networks (94C15)

Cites Work

• The weight distribution of some irreducible cyclic codes
• Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\)
• The number of solutions of certain diagonal equations over finite fields
• All two-weight irreducible cyclic codes?
• On period polynomials of degree \(2^m\) and weight distributions of certain irreducible cyclic codes
• Hamming weights in irreducible cyclic codes
• Two classes of binary cyclic codes and their weight distributions
• A characterization of all semiprimitive irreducible cyclic codes in terms of their lengths
• On subfield subcodes of modified Reed-Solomon codes (Corresp.)
• Period polynomials and Gauss sums for finite fields
• Weight enumerators of more irreducible cyclic binary codes
• The Weight Distribution of Some Irreducible Cyclic Codes
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