Kneser-Hecke-operators in coding theory
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Publication:998231
DOI10.1007/BF02960857zbMath1122.94053arXivmath/0509474OpenAlexW2013857468MaRDI QIDQ998231
Publication date: 29 August 2007
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509474
Linear codes (general theory) (94B05) Hecke-Petersson operators, differential operators (several variables) (11F60)
Related Items (8)
On self-dual cyclic codes of length \(p^a\) over \(\mathrm{GR}(p^2,s)\) ⋮ The weight distribution of the self-dual \([128,64\) polarity design code] ⋮ Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields ⋮ \( \Gamma \)-conjugate weight enumerators and invariant theory ⋮ More on superstring chiral measures ⋮ TOWARDS THE SIEGEL RING IN GENUS FOUR ⋮ Finite Weil representations and associated Hecke algebras ⋮ EISENSTEIN POLYNOMIALS ASSOCIATED TO BINARY CODES
Uses Software
Cites Work
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- On even codes
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- The dimension formula for the ring of code polynomials in genus 4
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- Hecke actions on certain strongly modular genera of lattices
- Linear relations between theta series
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- Self-dual codes and invariant theory
- Complete weight enumerators of generalized doubly-even self-dual codes
- On Siegel modular forms of weigth 12
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